Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?

A f(x) = (x – 1)2 + 2

6 f(x) = x2 – 2 – x + 1

© f(x) = x2 – 2x + 1

D f(x)= (x - 1)(x - 1)

Answers

Answer 1

Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

The quadratic function, f(x) = (x – 1)² + 2 is in vertex form: y = a(x - h)² + k, where:

The vertex of the graph is (h,k).The value of a determines whether the graph opens up or down. If a is positive, the graph opens up and the vertex is its minimum point. If a is negative, then the graph opens down, and the vertex is its maximum point. 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.

The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's minimum value, as the value of a is a positive, which implies that the parabola is upward facing, and the vertex, (1, 2) is the minimum point.

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Related Questions

- 3(4 - 9)

Evaluate.

Answers

Answer:

-15

Step-by-step explanation:

4-9=-5 -5×-3=15

negative times negative is positive

-3(4-9)

Solve what is inside the parenthesis first:

4-9 = -5

-3 (-5)

(-) x (-) = (+)15:

What happens when you add 18 to -18?

Answers

Answer:

[tex] - 18 + 18 \\ = 0 \\ thank \: you[/tex]

Answer:

[tex] \longmapsto18 + ( - 18) = 18 - 18 = \boxed{0}✓[/tex]

By adding 18 to -18, we will get 0 as the answer.

Help me please! Brainliest to first answer, must include answer to both questions!

Answers

Answer:

(In picture with steps)

Step-by-step explanation:

^

Sorry this took so long! I was doing the work, hope it helped anyways!

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

2a. =  X = -5      2b. =  X = -4

Step-by-step explanation:

Hope this helps!

2a.   2 - 2x - 5 = 7

-2x = 7 + 5 - 2

-2x = 10

x = -5

2b.    -6 + x + 4 = -6

x = -6 - 4 + 6

x = -10 + 6

x = -4

can you please help me

Answers

Answer:

the answer is 56.52 inches

Step-by-step explanation:

hope this helps :)

Answer:

56.52

Step-by-step explanation:

to find the circumference using radius, you multiply

r x pi x 2

9 x 2 x pi = 56.52

solve x^2 + 5x + 6= 0

Answers

x = -3 or x = -2

Step-by-step explanation:

x² + 5x + 6 = 0

(x + 3)(x + 2)

x = -3 \/ x = -2

Answer:

x₁ = (-2) , & x₂ = (-3).

Step-by-step explanation:

2² + 5x + 6 = 0

/\

2 3

x₂

(x + 2) x + 2 = 0 x₁ = (-2)

x₁

(x + 3)x + 3 = 0 x₂ = (-3)

Plot the point (−12, −52) on the coordinate plane.

Answers

Answer:

Step-by-step explanation:

-12 goes on the x axis (the line that goes ⇄), and because it's negative, it will go to the right.

start from that point (-12 on the x axis) and start going down till you reach -52 on the y axis (the line that goes ⇅)

so it should end up in the bottom left part of the graph

Find the surface area of the cylinder below. Round your answer to two decimal places.

Answers

Answer:

728.85

Step-by-step explanation:

Surface area of a cylinder equation: A = 2πrh+2πr²

A = (2π(4)(25))+(2π(4²))

A = 728.85cm³

Can you find the equations for A and B?

Answers

Answer:

A. y=1/-2x+5

B. y=1/2x

Step-by-step explanation:

the y-intercept of line A is 5, so the slope, or the rise/run, is 1/-2. A similar thing for line B; the y-intercept is 0 and the slope is 1/2/

how do i use a protractor to measure degrees of an angle​

Answers

Answer:

first of the you put the line to one of the sides. Then you put the no. 0 to the point then measure

Step-by-step explanation:

Similar to a ruler, you put your protractor up to the angle you are trying to measure and start at 0- then work your way up to what ever degree in ends at.

Please help!! ILL GIVE BRAINLIEST TO THE FASTEST CORRECT PERSON!

Answers

Answer:

-0.5

Step-by-step explanation:

Rate of change is easily found by the change in y values/change in x values.

−2/3)(5/4) Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

[tex] \frac{ - 5}{6} [/tex]

Step-by-step explanation:

multiply the two fractions ie

[tex] \frac{ - 2}{3} \times \frac{5}{4} \\ = \frac{ - 5}{6} [/tex]

Answer:

-(5/6)

Step-by-step explanation:

1) reduce -1/3 * 5/2

2) multiply - 5/6

What are the range of all integers greater than 40 and less than 99 that are multiples of 3?

Answers

We want to find the total number of integers that are larger than 40 and smaller than 99 that also are multiples of 3.

The answer is 18.

We can solve this just by counting.

The first multiple of 3 larger than 40 is:

3*14 = 42

Now we know that 99 is also a multiple of 3 and that the multiples of 3 are separated by a distance of 3 units, then the total number of multiples of 3 between 42 and 99 is given by:

(99 - 42)/3 = 19

But we need to remove 1, because we used 99 and we have the restriction that our numbers must be "smaller" than 99.

Then we have a total of 18 multiples of 3 between 40 and 99.

If you want to learn more, you can read:

https://brainly.com/question/19239363

Convert 6200 seconds into weeks. Round your answer to the nearest hundredth

Answers

Answer:

0.01 weeks

Step-by-step explanation:

1 min=60sec

1hr=3600sec

1 day = 86400sec

1 week= 604800sec

Therefore answer is 6200/604800= 0.01(approximated)

2² - 7x-4
Simplify x2-5x+4
3
2x+1
x-1
2x+1
x+1
2-7x
5x
DONE

Answers

Answer:

It's the 1st one:

[tex] \frac{2x + 1}{x - 1} [/tex]

Step-by-step explanation:

There is a correct way to do this, but because it's multiple choice you can plug any value, preferably not any negatives, 0 or 1, into the x and then calculate. I plug 2 in for x and got 5 as my answer then I went to the answers and the 1st equaled 5

Given quadrilaterals
ABCD and LMNO, and AC = LN, how can you
show that the corresponding angles of the
quadrilaterals are congruent?

Answers

Answer:

I think it would be by SSS

Step-by-step explanation:

SSS tells that if three sides of a triangle are congruent to three sides of another triangle, then the two triangles are congruent. The lines on the triangles show that they are congruent, so by looking at the sides, the triangles are congruent. If the sides are the same, then the angles are the same.

twenty-four minus the product of three and two

Answers

18

Question:

twenty-four minus the product of three and two

Answer:

➛24-(2×3)

➛24-6

➛18

∴Hence 18 is the Correct Answer!

24-² = -2 × -2 × -2 × -2 × +2

24-³ = Wrong Quiq

n+2/25=n-4/35 (solve for n)

Answers

hhwgwoahauaiahnwjsdjwhsjs

Please answer this question

Answers

Graph 1: Domain = [-6,6]  

Graph 1: Range = {-5,-1,0}

Graph 2: Domain = (-4, infinity)  

Graph 2: Range = {-4} or [-2, infinity)

Graph 3: Domain = (-infinity, infinity)  

Graph 3: Range = [-5, infinity)

Graph 4: Domain = [-5.5, infinity)  

Graph 4: Range = (-infinity, infinity)

Answer:

zero nun after dat

Step-by-step explanation:

it's infantry yuh

what is equilvlant to 4/5

Answers

8/10, 12/15, 16/20, etc..

PLEASE HELP ASAP!!

The area in square feet of a rectangular field is x^{2}-110x+2800. The width, in feet, ix x-40. What is the length, in feet?

Answers

Answer: I changed 2 items ({2} and ix), so review carefully. The length is (x-70) feet.

Step-by-step explanation:

Area = x^2 - 110x+2800

Width = (x-40)

Area = Width x Length

(x^2 - 110x+2800) = (x-40)*L

L = (x^2 - 110x+2800)/(x-40)

L = (x - 40)(x-70)/(x-40) Factor the numerator.

L = (x - 70) feet

can I wear it with you?

know my name is Shin Tae
I'm from South Korea

about :

123+478= ??

thank you​

Answers

Answer:

123+478= 601

Step-by-step explanation:

u r from south korea ,cool. !

Answer:

601

Step-by-step explanation:

A change jar contains nickels, dimes, and quarters, totaling an amount of $1.90. The amount of nickels is one more than twice the number of dimes. The number of quarters is one-half the total number of nickels and dimes. Find the number of each coin in the change jar.

Answers

Answer:

nickel, dimes, and quarters is 7, 3, and 5 respectively

Step-by-step explanation:

moreover, no of nickels =2*3+1=7

Quarter=5

I need help please help me

Answers

Answer:Is A

Step-by-step explanation:

I am Really bad at explaining

phân tích các đa thức:
x^3+3x^2+3x+1

Answers

Please find attached photograph for the solution of your question.

Pls answer!! I will mark brainliest!

Answers

Answer:

I'm thinking it might be 9

Please help me
Get the answer​

Answers

i: 3
ii:5
iii:80

I hope this helps ✌️

Help me please and thank you

Answers

Answer:

y > x^2 - 6

y > x^2 + 2

Step-by-step explanation:

Which statement explains how the lines x+y=2 and y=x+4 ara related?

Answers

Answer:

They are perpendicular

Step-by-step explanation:

Function 1: x+y=2  --> y = -x+2

Function 2: y=x+4 --> y =  x+4

Function 1 has a slope of -1, Function 2 has a slope of 1.

Please solve fast. Q.No. 26 and 29.
26. x²+5x+25/4
27. x²/4y²-2/3+4y²/9x²​

Answers

Step-by-step explanation:

26. x²+5x+25/4 = (x + 5/2)²

29. x²/4y²-2/3+4y²/9x² = (x/2y - 2y/3x)²

Answer:

In attachment I have answered this problem.↑↑

help lol
will make brainliest ​

Answers

Answer:

Transversal Q

Step-by-step explanation:

I hope this helps

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