In this lesson, we will learn how to identify function transformations that include a combination of translation, dilation, and reflection.

Students will be able to

Students should already be familiar with

Students will not cover

Q1:

Consider the function 𝑓 given by 𝑓(𝑥)=√−𝑥+1+2.

Which of the shown graphs is the graph of 𝑓?

Which of the shown graphs is the reflection of the graph of 𝑓 in the 𝑦-axis?

Write its equation.

Q2:

Consider the function 𝑓 given by 𝑓(𝑥)=√𝑥+1−2.

Which of the graphs in the given diagram is the reflection of the graph of 𝑓 in the 𝑥-axis?

Q3:

Consider the function 𝑓 given by 𝑓(𝑥)=√𝑥+1+2.

Which of the graphs in the given diagram is the reflection of the graph of 𝑓 in the 𝑦-axis?

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.