3. Topic 3(COLON) Functions and Graphs

Lesson 3.4: Transformations Of Graphs — Quiz

Test your understanding of lesson 3.4: transformations of graphs with 5 practice questions.

Practice Questions

Question 1

If the function $f(x)$ is defined as $f(x) = x^2$, what is the transformed function for a vertical stretch of factor 3 represented by $g(x)$?

Question 2

What is the effect of the transformation $f(x + 4)$ on the graph of the function $f(x)$?

Question 3

Given the function $f(x) = \sqrt{x}$, what is the transformed function if it is reflected over the y-axis?

Question 4

If the graph of $f(x)$ is transformed to $h(x) = f(x) + 2$, how does this transformation affect the graph?

Question 5

For the function $f(x) = 2x$, what is the result of a horizontal compression by a factor of 1/2 to produce $g(x)$?