If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 4, what is the equation of the new function

Question

dmitriy555 [2]

4 years ago

8

If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 4, what is the equation of the new function

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Mathematics

2 answers:

vampirchik [111] · Answer 1 · 2022-02-02T23:12:52+03:00

vampirchik [111]4 years ago

4 0

The right answer is g(x)=(1/4x)^2 had the same question!!

navik [9.2K] · Answer 2 · 2022-02-02T22:11:52+03:00

Please write x^2, not x2.

If you stretch the graph of y=x^2 vertically by a factor of 4, the resulting graph represents the quadratic function y = 4x^2. It's still a parabola, but appears to be thinner.

This particular question is about horizontal stretching, however. Stretching the graph horizontally by a factor of 4 results in the new function g(x) = (x/4)^2. Try graphing x^2 and also (x/4)^2 on the same set of axes to observe this phenomenon.