Describe the transformations that were applied to y=x^{2} to obtain each of the following functions y=-2(x-1)^{2}+23\ and y=(\frac{12}{13}(x+9))^{2}-14\

vazelinahS

vazelinahS

Answered question

2021-07-30

Describe the transformations that were applied to y=x2 to obtain each of the following functions.

a)y=2(x1)2+23 

b)y=(1213(x+9))214 

c)y=x28x+16 

d)y=(x+37)(x+37) 

e)y=40(7(x10))2+9

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2021-07-31Added 109 answers

Step 1
Describe the transformed function for the original equation is y=x2 for the following terms:
(a)y=2(x1)2+23
a=2 k=1 d=1 c=23
(b)y=[1213(x+9)]214
k=1213 d=9 c=14
(c)y=x28x+16
=(x4)2
d=4
(d)y=(x+37)(x+37)
=(x+37)2
d=37
(e)y=40[7(x10)]2+9
a=40 k=7 d=10 c=9

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