Question

Suppose that g(x) = f(x) – 17. Which statement best compares the graph ofg(x) with the graph of f(x)?A. The graph of g(x) is shifted 17 units up.B. The graph of g(x) is shifted 17 units down.C. The graph of g(x) is shifted 17 units to the left.D. The graph of g(x) is vertically stretched by a factor of 7.

Answer 1

Given :

`g(x)\text{ = f(x) - 17}`

This implies that the graph of g(x) is shifted 17 units down

Step-by-step explanation

If f(x) is defined as :

`f(x)=x^2`

Then,

`g(x)=x^2\text{ - 17}`

The graphs of f(x) and g(x) is shown below:

f(x) has a color of red and g(x) has a color of green.

Answer: Option B