5
ALMultiple Choice

Families of Graphs

Question 5 • IASD Precalculus 2nd Quarter - Wingerter 2025-26

If the point (1, 3) is on the graph of y = f(x), then what is the corresponding point on the graph of y = −2f(x)?

Answer
A
(−2, −6)
B
(1, −6)
C
(−2, 3)
D
(1, 3)

Explanation

The point (1, 3) means f(1) = 3. In y = −2f(x), the x-coordinate stays 1 while the y-value is multiplied by −2, so the new y-value is −2 × 3 = −6. The corresponding point is (1, −6), choice B.

AI-written and checked against the verified answer.