Practice variation 2 of 3
Graph transformations — Scaled parabola on $(-\infty,4]$
Your question
A function is defined by for in the domain .
(i) Sketch the graph of showing the - and -intercepts.
(ii) Find the equation of the inverse function , and state its domain.
(iii) Sketch the graph of .
This practice question was inspired by Question 12(d) in the 2021 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?