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Ber [7]
2 years ago
14

Write the quadratic function in f(x)= a(x-h)^2+k form whose graph is shown. f(x)=

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
4 0

Answer:

f(x) = - (x - 2)² + 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 2 ), thus

y = a(x - 2)² + 2

To find a substitute the point (0, - 2) into the equation

- 2 = a(- 2)² + 2 ( subtract 2 from both sides )

- 4 = 4a ( divide both sides by 4 )

a = - 1

Thus

f(x) = - (x - 2)² + 2

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3 years ago
PLEASE PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
erastova [34]

Answer:

B. y = -1/2x

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3 0
2 years ago
2^x + 3^y = 9<br>2^x+1 - 3^y+1=8<br>find x and y​
Taya2010 [7]

Suppose :

2^x = t ..**&**.. 3^y = u

_____________________________

t + u = 9 × 3 3t + 3u = 27

=====》

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+ __________

5t = 35

5 × t = 5 × 7

t = 7

&

u = 2

________________________________

Thus :

2^x = 7 ===》 x = Log _ 2 { 7 }

3^y = 2 ===》 y = Log _ 3 { 2 }

8 0
3 years ago
The bargain shows a company‘s income and expenses over the last five years. Which team is supported by the information in the gr
koban [17]

Check the picture below.

4 0
2 years ago
Help please i can’t figure this out
ehidna [41]
To find the y-intercept: replace x with 0
to find the x-intercept: replace y with 0

x-int:
0 = 10x - 32
32 = 10x
x = 3.2
(3.2, 0)
y-int:
y = 10(0) - 32
y = -32
(0, -32)
6 0
3 years ago
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