F(x) =?. Vertex is (2,-4) the other given point is (1,-2)

Answers

Answer 1

Given the vertex, (2, -4) as the minimum point, and that it is an upward-facing parabola that passes point (1, -2):

We could substitute these values into the vertex form of the quadratic function,

f(x) = a(x - h)^2 + k

where:

(h,k) is the vertex

The axis of symmetry is the vertical line x = 2

The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.

The value of “h” determines how far left or right the parent function is translated.

The value of “k” determines how far up or down the parent function is translated.

Now that we’ve established these definitions, we can substitute the given values into the vertex form:

f(x) = a(x - 2)^2 - 4

In order to determine the value of “a”, we must substitute the values of the other given point, (1, -2) into the equation:

f(x) = a(x - 2)^2 - 4

-2 = a(1 - 2)^2 - 4

-2 = a(-1)^2 - 4
-2 = a - 4

Add 4 to both sides to solve for “a”

-2 + 4 = a - 4 + 4
2 = a

Now that we have the value of a = 2, we can establish our quadratic function in vertex form:

f(x) = 2(x - 2)^2 - 4

I’m also including a screenshot of the graph of the function we came up with.

Please mark my answers as the Brainliest if you find my explanations helpful :)

Related Questions

True or false? Pqr is a right triangle.

Answers

PQR is a right triangle - TRUE .

Answer:

I think it's true

Step-by-step explanation:

PQR is a right triangle. Hope this helps you!

[tex]SilentNature\\(GraceRosalia)[/tex]

CAN SOMEONE HELP PLSSSS ITS THE LAST QUESTION

Answers

Answer:

Step-by-step explanation:

by equality of triangles

13x-12=7x-6

13x-7x=12-6

6x=6

x=1

5/9 divided by 8/5 the lesson is called dividing fractions

Answers

Answer: It can sometimes be difficult to divide fractions, such as 5/9 divided by 8/5. But it's no problem! We have displayed the answer below: 5/9 ÷ 8/5 = 25/72

Step-by-step explanation: Hope this help u bru

NO LINKS OR ASSESSMENT!!!

Part 2: State the Domain and Range of each graph in BOTH inequality and interval notation

Answers

Domain = set of input value

Range = set of output values

#1Domain: -2 < x ≤ 2 or (-2, 2]Range: -4 < y ≤ 4 or (-4, 4]#2Domain: -5 ≤ x ≤ 1 or [-5, 1]Range: -1 ≤ y ≤ 5 or [-1, 5]#3Domain: -4 < x < 4 or (-4, 4)Range: -1 ≤ y < 3 or [-1, 3)

John lives 27 miles from school. Steven lives 9 more miles from school
than John.
How many miles does Steven live from
school?

Answers

Answer: 36

Step-by-step explanation:

27+9=36

Answer:

Step-by-step explanation:

27+9=36

I steven lives 9 more miles than john we are adding.

Indicate which property is illustrated in step 1

Answers

Answer:

Step-by-step explanation:

communicative because you moved the three to the other side

The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) = 4x3 + 10x2 + 54x + 520, where x represents the number of years since the store opened. The amount of types of candy can be modeled by the linear function T(x) = 2x + 10. Which expression represents the amount of candy sold each year per type at Cassandra's Candy Corner?
2x^2 – 5x + 52
2x^2 + 5x + 52
4x^3 + 10x^2 + 52x + 510
4x^3 + 10x^2 + 56x + 530

Answers

Using polynomial division, it is found that the expression that represents the amount of candy sold each year per type at Cassandra's Candy Corner is:

[tex]2x^2 - 5x + 52[/tex]

The amount of candy sold per type is given by the following division:

[tex]\frac{C(x)}{T(x)} = \frac{4x^3 + 10x^2 + 54x + 520}{2x + 10}[/tex]

The denominator can be written as:

[tex]2x + 10 = 2(x + 5)[/tex]

At the numerator, to see if we can simplify, we verify if x = -5 is a factor:

[tex]C(-5) = 4(-5)^3 + 10(-5)^2 + 54(-5) + 520 = 0[/tex]

Since C(-5) = 0, it is a factor of the numerator, and thus, since the numerator is of the 3rd degree, it can be written as a 3 - 1 = 2nd degree polynomial multiplying x + 5:

[tex](ax^2 + bx + c)(x + 5) = 4x^3 + 10x^2 + 54x + 520[/tex]

[tex]ax^3 + (5a + b)x^2 + (5b + c)x + 5c = 4x^3 + 10x^2 + 54x + 520[/tex]

Equaling both sides:

[tex]a = 4[/tex]

[tex]b = 10 - 5a = -10[/tex]

[tex]5c = 520 \rightarrow c = 104[/tex]

Thus:

[tex]C(x) = (4x^2 - 10x + 104)(x + 5)[/tex]

And:

[tex]\frac{C(x)}{T(x)} = \frac{(4x^2 - 10x + 104)(x + 5)}{2(x + 5)} = 2x^2 - 5x + 52[/tex]

Thus, the expression is:

[tex]2x^2 - 5x + 52[/tex]

A similar problem is given at https://brainly.com/question/13586325

coeffitiant of 3x-y+4

Answers

Answer:

Step-by-step explanation:

....,.................

Your answer Would be A

Please help me on my homework

Answers

the correct answer is $948

Can somebody help me as soon as possible if can !

Answers

The answer is D: it is not a linear function, and it’s graph is not a straight line.

Can somebody help me anyone

Answers

Answer is C and D because they are not rational

Graph the equation,
y = 5x - 5

Answers

Answer:

Step-by-step explanation:

there are 2 ways to graph equations. I'll teach u the faster way.

step 1) graph the y-intercept.

so the slop-intercept form of a line is y=mx+b. b represents the y-intercept and m represents the slope. u need two points to graph a line, the first point will be the y intercept. in this case, the y-intercept is -5. so this is what you should do: (the underlined star represents a point. also, the underlined star is on point -5.)

| y

------------------------------------------------------------x

step 2) graph the second point using the slope.

slope equals rise over run. (m=rise/run.) in this case, the slope is 5/1. To graph the second point, u should RISE up by 5 and RUN to the right by one: (the underlined star is on point 1.)

| y

-----------------------*-------------------------------------x

now draw a line through those two points.

still confused? watch the first video that pops up after searching: how to graph a line

i couldnt insert the link to the vid for whatever reason but that vid helped me learn

show that x2-8x+20 can be writtern in the form (x-a)2 +a where a is an interger
and explain how you know x2-8x+20 is always positive

Answers

Answer:

The answer is . (x-4)²-11.

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

Question 8 of 10
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.

Help please

Answers

Answer:

Step-by-step explanation:

The solution is, the slope of the line below is 1/2.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph, we get,

the line is passing through the points (-2, -3 ) and, (2, -1 )

now , we know that,

We can find the slope of a line given two points by using the following:

m = ( y2-y1)/(x2-x1)

so, substituting the values of the coordinates of the points,

we get,

m = -1 + 3 / 2 + 2

= 2 / 4

= 1/2

Hence, The solution is, the slope of the line below is 1/2.

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Consider the functions f(x) = 6x - 5 and g(x) = 6x + 3. Which statement compares the
relationship between the graphs of the two functions?
A) The graph of g(x) is the same as the graph of f(x) translated down 2 units.
B) The graph of g(x) is the same as the graph of f(x) translated up 8 units.
C) The graph of g(x) is the same as the graph of f(x) translated up 2 units.
D) The graph of g(x) is the same as the graph of f(x) translated down 8 units.

Answers

Answer:

Step-by-step explanation:

since we have -5 and 3, in order to translate f(g) into f(x), we subtract 8 from f(g)

The graph of g(x) is the same as the graph of f(x) translated up 8 units. Therefore, option B is the correct answer.

What is the translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

Given that, f(x)= 6x-5 and g(x)= 6x+3.

When the shape is moved up by k units, then replace y with y + k.

Here, g(x)=6x-5+8

g(x)= 6x+3

The graph of g(x) is the same as the graph of f(x) translated up 8 units. Therefore, option B is the correct answer.

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PLEASE HELP WILL MARK BRAINEST!!!!
What’s the answer to number 7?

Answers

Answer/Step-by-step explanation:

The statement of question 7 is, "There are not 7 days in a week and Halloween is not on October 31st."

We know both of these statements are incorrect, therefore the truth value is False.

Which statements about opposites are true? HELLP ME ASAP PLS!!!

Select each correct answer.

The opposite of a number is 1 divided by that number.

The opposite of the opposite of a number is the number itself.

A non-zero number and its opposite are located on opposite sides of zero on a number line.

The opposite of a number is always a negative number.

Answers

Statements 2 & 3 are true

Evaluate and reduce:
-12/16+(11/12)

Adding and subtracting

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

-12/16 + (11/12)

-3/4 + 11/12

Take LCM

-3 × 6/4 × 6 + 11 × 2/12 × 2

-18/24 + 22/24

-18 + 22/24

4/24 = 1/6

Thus, The answer is 1/6

-TheUnknownScientist 72

1) Choose the best answer.
To solve an equation, you must
which means you must perform
whatever operations are necessary so that the variable appears by itself on one side of
the equation but not on the other side.
A.use substitution
B.isolate the variable
C.check your answer
D.apply the Symmetric Property of Equality

Answers

B to solve for a variable you must isolate the variable so it’s alone on one side of the equation

The process of isolating the variable is the primary step involved in solving an equation.

Thus, option (B) is correct.

A) Substitution refers to the act of replacing a variable with a known value in an equation, which can be a useful strategy in some cases but is not a fundamental step in solving equations.

B) To solve an equation, it is necessary to perform operations that isolate the variable on one side of the equation and keep the other side free of the variable.

C)To verify if the obtained solution satisfies the original equation, but it is not a step required to solve the equation.

D) It states that if a = b, then b = a.

It is a property that allows us to interchange the positions of two equal expressions in an equation but is not directly related to solving equations.

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0.4 decimal to a fraction

Answers

2/5

Step-by-step explanation:

0.4

= 4/10 → divided by 2

= 2/5

i need help fast please

Answers

That is too long 636363663

its too long and if you want someone to do it fast it takes a long time

y = (x - 5) (x + 2) , when x=3

Answers

Answer:

-10

Step-by-step explanation:

y = (x - 5) (x + 2)

y = (3 - 5) (3 + 2)

y= (-2) (5)

y= -2 x 5

y= -10

How to solve the slope of this line?

Answers

Answer:

4/5

Step-by-step explanation:

the equation for the slope of a line is

[tex]y=\frac{y_{2 - y_{1} } }{x_{2}-x_{1} }[/tex]

we can find the two points (-2,0) and (3,4) on the graph

plugging the points into the equation, we get (4-0)/(3-(-2)

= 4/5

By using two of the points on the line you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise while the horizontal change is called the run. So, the slope equals the rise divided by the run.

What is the expected value for the spinner shown below? Enter your answer as a
decimal rounded to the thousandths place,
6
-5
2
-2

Answers

Anser: rely hard for me sry

explennatien:

i dont no the anser im only 6 year old

Draw a model to represent 42/7

Answers

Here is a model I have made (I'm not a great artist). There are 42 circles in total, placed in 7 columns. Each column has 6 circles. This model represents 42/7 by splitting 42 into 7 parts, which are the columns, and showing that each column has 6 circles, which is the answer to 42/7.

The model to represent 42/7 is shown in the image attached,

What is the model

A "model" is a representation or abstraction of a system, concept, process, or phenomenon that helps us understand, predict, or explain how things work or interact.

In this image representation, each number represents one-seventh of the whole. One can shade in six of them to represent 42/7. In a more technical context, precise methods of representing fractions, such as using mathematical notation or diagrams is used.

Answers

Using a system of equation to represent the scenario described, the cost is purchase made is $12.70

Cost per bag of chip = $1.35 Cost per bottle of soda = $0.85

Cost of 5 bags of chips and 7 bottles of soda :

5(1.35) + 7(0.85) = $12.70

The cost of x bags of Chips and x bottles of soda can be expressed thus :

1.35x + 0.85y

Therefore, the cost of x and y bags of Chips and soda respectively is 1.35x + 0.85y

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Ryan is making biscuits. The recipe call for 0.25 quart of milk and 2.5 cups of flour. He has 1/5 quart of milk and 9/4 cups of flour. Explain his error

Answers

Answer:
He does not have enough milk. He only has 0.2 quarts of milk

Ryan's error lies in not utilizing the right units for measurement. He used inadequate milk and wrong flour measurement, influencing the recipe's proportion and result.

How to explain Ryans' error

Ryan's error lies in not utilizing the right units for measurement. The formula calls for 0.25 quart of drain and 2.5 glasses of flour. Ryan utilized 1/5 quart of drain (which is less than 0.25 quart), and rather than utilizing glasses for flour, he utilized 9/4 mugs (which is identical to 2.25 mugs, not 2.5 glasses).

This bungle of units and wrong measurements might lead to the rolls having the off-base consistency and taste due to the awkwardness of fixings. It's imperative to use the desired units and estimations in formulas to realize the expected result.

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What is the value of this expression?

4(610−15)+0.4

Answers

2380.4 is the answer using PEMDAS

Answer:

Work the bracket first

610 - 15 = 595

multiply by 4

595 x 4 = 2380

add 0.4

final answer is 2380.4

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through (2,2) with x-intercept 5

Answers

Answer y-2=-2/3(x-2) and y=-2/3x+10/3

Intro to Solving Literal Equations and Formulas
Picture Below:

Answers

Answer:

f/2 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

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