Question

Suppose f(x) = x2 and g(x) = (4x)2. Which statement best compares the graph of g(x) with the graph of f(x)?

Answer 1

Answer:

Option C

Step-by-step explanation:

Given: Functions  $f(x) = x^2$  and  $g(x)=(4x)^2$

Now, if we compare the both equation we get,

$g(x) = 4f(x)$  as  $g(x) = 4(4x^2)=16x^2=(4x)^2=f(x)$

This means that the value of g(x) is 4 times the value of f(x). So the graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.

The graph shown below confirms the conclusion.

Therefore, Option C is correct.

The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.

Answer 2

Answer: A P E X - the graph of g(x) is horizontally compressed by a factor of 4.

Step-by-step explanation: