Question

Suppose f(x) = x² and k(x) = x2. Which statement best compares the graphof k(x) with the graph of f(x)?

Answer 1

Given:

`\begin{gathered} f(x)=x^2 \\ \\ k(x)=(1)/(8)x^2 \end{gathered}`

Let's determine the statement that best compares the graph of f(x) with the graph of k(x).

To detetrmine the best statement that compares both graphs, apply the transformation rule for functions.

We have:

`k(x)=b(f(x))`

When b is less than 1, this means k(x) is a vertical compression of f(x)

Hence since we have:

`k(x)=(1)/(8)x^2`

This means the graph k(x) is the graph of f(x) vertically compressed by a factor of 8.

ANSWER:

D. The graph of k(x) is the graph of f(x) vertically compressed by a factor of 8.