Question

(HELP PLEASE) If you vertically compress the quadratic parent function, F(x) =x ^2, by multiplying by 1/4 , what is the equation of the new function?

Answer 1

The answer will be D, I'm pretty sure. 

Answer 2

The equation of the new compressed function is $\bold{G(x)=\frac{1}{4}x^2}$

The correct answer is an option (D)

What is an equation?

"It is a statement which consists of an equal symbol between two algebraic expressions."

What is compression of function?

"For a function f(x),  a new function g(x) = a f(x) is vertically compressed if     a < 1"

What is a quadratic function?

"It is a polynomial function with degree two."

For given question,

We have been given a quadratic function $F(x)=x^2$

We need to compress the given quadratic function by multiplying by $\frac{1}{4}$.

So, the equation of new function would be,

$\Rightarrow G(x)=\frac{1}{4}\times F(x)\\\\ \Rightarrow G(x)=\frac{1}{4}\times x^2\\\\\Rightarrow G(x)=\frac{1}{4}x^2$

Therefore, the equation of the new compressed function is $\bold{G(x)=\frac{1}{4}x^2}$

The correct answer is an option (D)

Learn more about compression of function here:

https://brainly.com/question/16250181

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