Write the equation of the function whose graph IS
shown.
y = ____ (x + ____)^2 + ____

Write The Equation Of The Function Whose Graph ISshown.y = ____ (x + ____)^2 + ____

Answers

Answer 1

Answer:

y=1(x-5)^2+3

Please correct me if i am wrong.

Step-by-step explanation:

We know that the turning point of a graph in the form a(x+p)^2+q is (-p,q) so,

TP(5,3) means that p=-5, q=3.

To solve a for the function y = a(x-5)^2+3, we can substitute one of the points we know lie on the graph for x and y so,

Substitute (8,12) into y=a(x-5)^2+3,

12=a(8-5)^2+3

12=9a+3

9=9a

a=1,

So substitute in a,

y=1(x-5)^2+3


Related Questions

Solve correctly for brainliest

Answers

Answer:

hope you like my answer is 75a²xy⁴

Answer:

See below.

Step-by-step explanation:

5x^2 y a y

3a y x^2

Can be written as:

5x^2 y^2 a + 3a y x^2

Add like terms:

5ax^2y^2 + 3ax^2y

The sum is 5ax^2y^2 + 3ax^2y

The sum has more than one term, so the sum is not a monomial.

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

Name two pairs of congruent angles

Answers

Answer:

∠JKL and ∠GKH

Step-by-step explanation:

1. Because these intersecting lines are forming opposite pairs of angles, there  are some vertical angles. Vertical angles are congruent.

2. As you can see, ∠JKL is 55°. The angle that forms the pair of opposite angles with ∠JKL is ∠GKH.

3. As aforementioned, because these two angles are vertical angles, they're congruent.

Therefore, two pairs of congruent angles are ∠JKL and ∠GKH.

The sum of a number and twice its reciprocal is 3. What are the numbers?

Answers

Let no be x

Acc to ques

X + 2(1/x) = 3

X + 2/x = 3

X^2 + 2 = 3x

X^2 - 3x + 2 = 0

X^2 - x - 2x + 2 = 0

X (x-1) - 2 (x-1) = 0

(x-2) (x-1) = 0

X= 2 or x =1

If this answer was helpful then please mark it as the brianliest

4. Elias was asked to solve a quadratic equation by factoring and his work is shown below. Circle the letter of the step where he has made an error. Then redo the work correctly from that point, using the shaded space. 4 points possible Given x2 – 12x = -20
Аx2 - 12x + 20 = 0
B(x - 4)(x – 5) = 0
С x-4 = 0 OR x-4 = 0
D x = 4 or x = 5 ​

Answers

Answer:

(B) (x - 4)(x – 5) = 0

Step-by-step explanation:

He made a mistake at step 2.

(x - 4)(x - 5) = 0 is incorrect as

it is same as x² - 9x + 20 = 0

It should be:

(x - 10)(x - 2) = 0 with the end result x = 10 or x = 2

Let's solve

[tex]\\ \sf\longmapsto x^2-12x=-20[/tex]

[tex]\\ \sf\longmapsto x^2-12x+20=0[/tex]

[tex]\\ \sf\longmapsto x^2-10x-2x+20=0[/tex]

[tex]\\ \sf\longmapsto x(x-10)-2(x-20)=0[/tex]

[tex]\\ \sf\longmapsto (x-10)(x-2)=0[/tex]

[tex]\\ \sf\longmapsto x=10\:or x=2[/tex]

Option B

There are 4 times as many dogs as cats. If the total number of dogs and cats is 20, how many dogs are there?

Answers

Answer:

5

Step-by-step explanation:

4x = 20

4/4= 20/4

  x = 5

guys pls help me!!!!!!

Answers

Answer:

128 degrees

Step-by-step explanation:

Angles on a straight line equals 180⁰

180⁰-52⁰=128⁰

A rectangular farm has an area of 5/8 square miles. If its length is 1/9 miles, what is its width?

Answers

45/8 or 5 5/8

5/8 divided by 1/9 - 5/8 x 9/1

Danielle bought a silver coat rack online it cost $653.76 +7% shipping and handling what was the total cost
round your answer to the nearest cent

Answers

Answer:

$699.52

Step-by-step explanation:

Theres two ways to solve this.

(1) You can either find 7 percent of 653.76 and then add it on

or

(2) You can just multiply the tax with the 653.76

Option (1)

You find 7 percent of 653.76. Now percent means out of a hundred so 7 percent is really 7/100 or 0.07

Now you multiply 653.76 by 0.07 which is 45.76 (rounded to nearest cent)

Now add it up to the total.

653.76+45.76= $699.52

Option (2)

This is the easier method in my opinion. SInce you want to find the total of the product including tax. The tax is technically multiplying the total. The total of course is 653.76 and total means everything. Everything means 100%. So you can add 100% to the tax cause technically thats what your doing becuase you grinding 7percent of the total which is 100 percent. So in this case your price is increasing by 107 percent.

(Example)

So If you want to find 100 percent of a product it would be the same exact result. Like 100 percent of 653.76 is 654.76… So using that we can just add the amount of tax to the 100%. 100+7=107%

Proof that this works is this

usually when you want to find a percentage of something, you turn the percentage into a decimal then multiply. So 100 percent of 653.76 is 653.76*1.00 which is 653.76. So the 100 percent is a place holder to prevent you from doing more steps. Now just add 7 percent since your increasing the total by 7 percent (tax). Now its 653.76*1.07 which when solved you would get $699.52. The same exact result. Less steps same result.

Final answer: $699.52

The perimeter of a rectangular window is 264 cm. If the width of the window is 56 cm what is its length. *

Answers

Answer:

76 cm.

Step-by-step explanation:

56 times 2 is 112

264-112=152, divide by 2

152/2=76

Answer:

76 cm

Step-by-step explanation:

Perimeter is the sum of all sides of a rectangle. It can also be thought of as 2 times the width plus 2 times the width.

[tex]P=2L+2w[/tex]

Rearranging to solve for length:

[tex]2L=P-2w[/tex]

[tex]L=\frac{P-2w}{2}=\frac{264-2(56)}{2}=\frac{152}{2}=76[/tex]

The length is 76 cm.

8 minus the product 5 and a number

Answers

Answer:

8 - 5x

Step-by-step explanation:

Let the number be 'x'

Product of 5 and 'x' = 5*x = 5x

8 - 5x

8.5x-2(2x+8) Pls give steps and I need it in expanded from

Answers

Answer:

[tex]\frac{9x}{2}[/tex] - 16

Step-by-step explanation:

8.5x - 2(2x + 8)

Use the distributive property to multiply −2 by 2x+8.

8.5x - 4x - 16

Combine 8.5x and −4x to get 4.5x.

4.5x - 16

= [tex]\frac{9x}{2}[/tex] - 16

You must distribute first so -2•2x=-4xand -2•8=-16
So expanded form is 8.5x•(-2•2x)+(-2•8)

6z ^2 (7z^2 + 3z- 2)

Answers

Question: 6z ^2 (7z^2 + 3z- 2)

Answer: 42z^4 + 18z^3-12z^2

(hope this helps) :)

what is the sum of -10 and 6?

Answers

Answer:

16

Step-by-step explanation:

10+6=16 sheeesh

Answer: -4

Step-by-step explanation:

Count back 6 times from -10 towards 0.

How do you do Geometry the right way and what is the best way to remember how to do it?

Answers

Step-by-step explanation:

To understand geometry, it is easier to visualize the problem and then draw a diagram. If you're asked about some angles, draw them. Relationships like vertical angles are much easier to see in a diagram; if one isn't provided, draw it yourself.

If the angles forming a linear pair are 4:5, then values of these angles are :

Answers

Answer:

the total angle in linear pear is 180°

let the angles be 4x and 5x

4x+5x=180°

9x=180°

X =20°

again

4x=4×20°=80°

5x=5×20°=100°

please someone helpppppp im giving brainliest!

Answers

Answer:

A

Step-by-step explanation:

The order of operations, or PEMDAS, is used like so:

Parentheses

Exponents

Multiply

Divide

Add

Subtract

exponents are the second step of the order of operations

Answer:

The 2nd step i think I'm not totally sure.

Step-by-step explanation:

Which equation represents the following graph?

Answers

it a or d make your decision

When I turned the equations into graph form, the graph that was most similar to the graph shown was the equation y = 2/3x + 2 (my graph for y = 2/3x + 2 is shown below)

PLEASE HELP
The owner of a lemonade stand mixes juice that costs 2 dollars per gallon with juice
that costs 7 dollars per gallon. She gets 20 gallons of punch that costs 4 dollars per
gallon. How much of each juice does she use?

Answers

;#+#+£-;#;#;_£ajqjjqw

Step-by-step explanation:

2

T/7=3 what’s the answer?

Answers

Answer:

t=7x3

t=21

Step-by-step explanation:

hope this helps you!!!

Answer:

21

Step-by-step explanation:  T/7= 3 so t= 7×3= 21

21÷7=3

simplify ; 4m + 2m - m +2m - 2m​

Answers

Hello there! :)

4m+2m-m+2m-2m

We can see that 2m-2m cancel out:

4m+2m-m

Now just add all the m's:

6m-m

5m

Hope this helps! :)

[tex]GraceRosalia[/tex]

[tex]\sf{ 5m}[/tex]

Step-by-step explanation:

[tex]\mapsto 4m+2m-m+2m-2m\\\\\mapsto 4m+2m+2m-m-2m\\\\\mapsto 8m-3m\\\\\dashrightarrow 5m[/tex]

In a laboratory experiment, the population of bacteria in a petri dish started off at
2600 and is growing exponentially at 13% per day. Write a function to represent the
population of bacteria after t days, where the hourly rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per hour, to the nearest
hundredth of a percent.

Answers

Answer:

See below

Step-by-step explanation:

Daily growth rate is 13% with initial values of 2600 bacteria.

The equation is:

[tex]f(t) = 2600*( 1 + 0.13)^t=2600*1.13^t[/tex]

Find the hourly rate x considering 1 day = 24 hours:

[tex]2600*1.13^{t/24}=2600*x^t[/tex][tex]ln 1.13^{t/24}=ln x^t[/tex][tex]ln1.13^{1/24}=lnx[/tex][tex]x=1.13^{1/24} =1.0051[/tex]

Percentage rate of change per hour is:

0.51%

?
11.9 cm
9.1 cm
-oblem
Two side lengths of a triangle are shown above. What could be the measurement of the missing side length? (choose 2)
A 20.3 cm
B22.4 cm
C 2.6 cm
D14.6 cm
E 25 cm

Answers

Answer:

14.98cm

Step-by-step explanation:

Just using the pythagorean theroem

A beverage company advertises that they have increased their bottle size to 14.4 ounces, which is 20% more than the original size. What is the original size of the bottle

Answers

Answer: Original size= 14.4 ounce x 100/120

                  =12 ounce

Answer:

the answer is 12

Step-by-step explanation:

please see solution picture

WILL GIVE BRAINLIEST

Find the measure of Z4 given angle 2 is 70 degrees.​

Answers

Answer:

110

Step-by-step explanation:

Z4=180-70:110‌ ‌ ‌ ‌ ‌ ‌

The value of c varies directly with y, and when x=1/3, y=5

Write an equation to represent the direct variation

Find the value of y if x=-2

PLS HELP

Answers

Answer:

-3/10

Step-by-step explanation:

y = k/x

5 = 3k

k = 3/5

y = 3/5x

y = 3/5(-2)

   = 3/-10

    = [tex]-\frac{3}{10}[/tex]

Feel free to mark this as brainliest! :D

Nine less than four times a number is the same as nineteen

Answers

Answer:

x= 7, the number is 7

Step-by-step explanation:

4x-9= 19

Add 9 to both sides

4x=28

Divide each side by 4

x=7

Answer:

4x - 9 = 19

Step-by-step explanation:

We can represent 4 times any numbers as 4x.

Then they want 9 less than 4x. This means that they want 4x but 9 units shorter. So to make 4x 9 units shorter, you would take away 9 from 4x which is represented as 4x - 9. A common mistake is writing this as 9 - 4x.

They also want 4x - 9 to be the same, or equal to, 19. So to equate both expression, you would add the equals sign between both expressions.

whats 1+1 please explain.

Answers

Answer:

1+1=2

Step-by-step explanation:

quick maff

Answer:

It's easy 1+1=2

Step-by-step explanation:

1 +1 =2

let me expalin.

you have an apple then I gave you I more apple then how much apple do you have ?

it's easy 1+1=2

Find the missing dimension of the prism. Volume = 532 in. 3 19 in​

Answers

Subtract them but turn 532 into a decimal

The required width of the rectangular prism is 16in.

What is a rectangular prism?

A rectangular prism is a three dimensional shape , that has six faces. The shape of a rectangular prism is just a cuboid shape.

Use the formula of volume of a cuboid since a rectangular prism is in the shape of a cuboid. The volume of a cuboid is V= length×breadth×height.

Given that, The volume of prism V=[tex]532 in^{3}[/tex]

The length of prism , L= 19in.

The height of prism [tex]H=1\frac{3}{4}=\frac{7}{4}[/tex].

The width, W=?

The rectangular prism has volume V=Length×Height×Width.

Therefore,  532=19×(7/4)×W

So,  532×4=19×7×W

Thus,  (532×4)/(19×7)=W

Therefore,  W=16in.

Thus, the width of the rectangular prism is 16in.

To learn more about volume click here:

https://brainly.com/question/25038935

#SPJ2

The win to loss ratio for baseball is 5:6. For numbers 2a-2d, circle YES or NO to indicate whether each total number of wins, losses, or games is possible for the baseball team

Answers

In my opinion i think the answers would be:
2a: yes
2d: no

3(18-7)+2 using the order of operations

Answers

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Order of Operations = PEMDAS

IN ORDER:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Problem: 3(18-7)+2

Step 1: 3X18=54 3X-7= -21

Step 2: 54-21+2

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