PSAT Math Multiple-Choice Question 733: Answer and Explanation

Question: 733

What will happen to the graph of the function f(x) = 4x ² - 18 if it is transformed into the function g(x) = 4(x - 2)² - 15?

• A. It will shift down 2 units and shift to the left 3 units.
• B. It will shift up 3 units and shift to the right 2 units.
• C. It will shift up 2 units and shift to the left 3 units.
• D. It will shift down 3 units and shift to the right 2 units.

Correct Answer: B

Explanation:

(B) When you add a positive number to the y-value of a function, the function shifts up. When you subtract a number from the x-value of a function, the function shifts to the right. This function has had 2 subtracted from its x-value, so the function shifts to the right 2 units. This function has had 3 added to its y-value, so the function shifts up 3 units.