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The graphs of the function f(x)=x^2 is horizontally compressed to obtain function g. Write the equation for function g based on these graphs. Enter the correct answer in the box. Be sure to write your answer in terms of the f(x) function.

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The graphs of the function f(x)=x^2 is horizontally compressed to obtain function-example-1

2 Answers

10 votes

We know that the function g(x) is in the form ax². Since we know that it's parabola goes through the point (1,9), then:


g(1) = 9


a\cdot(1)^2 = 9


a = 9

So
\boxed{g(x) = ax ^2 = 9x^2}.

User RomanN
by
6.3k points
10 votes

Answer: EDMENTUM AND PLATO

g(x)=f(3x)

Step-by-step explanation: I got it correct on the tutorial.

The graphs of the function f(x)=x^2 is horizontally compressed to obtain function-example-1
User Amrinder Singh
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6.8k points