Question

The graph of f(x) = |x| is shown below. Write the equation for the stretched graph, g(x).

Step 1: Start with the equation g(x) = k • f(x). Substitute the known point and solve for k. Show your work.

Step 2: Use the value of k that you found in Step 1 to write an equation for g(x)

Answer 1

Hello!

Step 1:

To find the value of k, you would need to substitute the ordered pair (2, 6), into the equation: g(x) = k · f(x).

6 = k · |2| (divide both sides by 2)

The answer to step one is k = 3.

Step 2:

Since the value of k is 3, we substitute k into the equation: g(x) = k · f(x).

The answer for step two is g(x) = 3|x|.