Digital PSAT Math Practice Question 210: Answer and Explanation

Question: 210

What will happen to the graph of the function f (x) = 4x² - 18 if it is transformed into this 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 its x value, the function shifts to the right. This function has 3 added to its y value and 2 subtracted from its x value, so it will shift up 3 units and shift to the right 2 units.