Quadratic Functions: Vertex Form

Question 6 • PBCSD_Grade_Forgiveness_1200710_Mathematics_for_College_Algebra_S2_2023

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

Answer

g(x) = (x + 9)2 + 4

g(x) = (x + 9)2 − 4

g(x) = (x − 4)2 + 9

g(x) = (x + 4)2 + 9

A shift 4 units to the right replaces x with x − 4, giving (x − 4)². A shift 9 units up adds 9, so g(x) = (x − 4)² + 9, which is choice C.

AI-written and checked against the verified answer.

Introduction to Quadratic Functions

Quadratic Functions: Standard Form

Quadratic Functions: Factored Form