Answered

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If g(x)=x^2 but it has been stretched and shifted, which of the following could be the equation of f(x)?

If Gxx2 But It Has Been Stretched And Shifted Which Of The Following Could Be The Equation Of Fx class=

Sagot :

SOLUTION:

Case: Function transformation

Given:

A graph of x^2 transformed

Method:

Steps of transformation

[tex]y=(ax)^2+b[/tex]

1. Stating the parent function

[tex]y=x^2[/tex]

2. Translating a step-down mean s b= -1

[tex]y=x^2-1[/tex]

3. Since the function is stretched, the a picks up a value less than 1

[tex]y=(\frac{3}{4}x)^2-1[/tex]

Above is the only suitable fraction option from above, as a=3/4 and b=-1.

Final answer: Option (D)

[tex]f(x)=(\frac{3}{4}x)^2-1[/tex]

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