Translating Quadratic Functions

00:00 3 marks

Given the quadratic function $f(x) = (x – 2)^2 + 3$, apply a translation to the left by 4 units and downward by 5 units. Write the equation of the resulting function.

Hint Hint

Hint

Recall that a left translation involves replacing $x$ with $x + 4$ and a downward translation involves subtracting from the entire function.

Answer Answer
Mark Scheme Mark Scheme
Explanation Explanation
Common Errors Common Errors
Real World Context Real World Context
Focus Focus
Formula Booklet

Answer Answer

Complete Answer

$g(x) = (x + 2)^2 – 2$

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Common Errors Common Errors

Focus Focus

Formula Booklet

Math Editor

Welcome Back!

Create your account

Build skills for today, tomorrow, and beyond. Education to future-proof your career.

By clicking "Sign in," you agree to our Terms of Use and our Privacy Policy

Hint: The password should be at least eight characters long. To make it stronger, use upper and lower case letters, numbers, and symbols like ! " ? $ % ^ & ).