Question

Question 9(Multiple Choice Worth 4 points)

(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x - 9)?
The graph of y = f(x) will shift up 9 units.
The graph of y = f(x) will shift down 9 units.
The graph of y = f(x) will shift left 9 units.
The graph of y = f(x) will shift right 9 units.

Answer 1

The graph of y = f(x) will shift right 9 units.

Explanation:

If the -9 is inside the parenthesis, the graph g(x) shifts 9 points to the right.

Answer 2

Answer: D) right 9 units

Explanation:

The Vertex form of a quadratic equation is: y = a(x - h)² + k where

• a is the vertical stretch or shrink
• (x, h) is the vertex

→ h is the horizontal shift (+ is right, - is left)

→ k is the vertical shift (+ is up, - is down)

y = f(x - 9)

↓

h=9

Since h is positive, the graph moves 9 units to the RIGHT