Question

if you horizontally strech the quadratic parent function, f(x)=x^2, by a factor of 4, what is the equation of the new function?

Answer 1

g(x) = x^2/16

Explanation:

To stretch a function horizontally by a factor of k, replace x with x/k.

You want a stretch factor of 4, so your function is ...

g(x) = f(x/4) = (x/4)^2

g(x) = x^2/16

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The attached graph shows the horizontal stretch.