Question

Which statement describes the graph of g(x) with respect to the graph of f(x)?

(answer options and question in the picture)

Answer 1

D

Explanation:

When functions are transformed there are a few simple rules:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

This graph has the output outside of x subtracted by 6. It will shift 6 units down.