Question

exploring translations of square root functions

move the slider on the graph on the right to graph each function and describe the translation.

function | position relative to parent
\\(y = \sqrt{x+4}\\) | left of the parent
\\(y = \sqrt{x-4}\\) | right of the parent
\\(y = \sqrt{x}-2\\) | below the parent
\\(y = \sqrt{x}+2\\) | above the parent

\\(y = \sqrt{x-3}+2\\) | dropdown
\\(y = \sqrt{x+3}-2\\) | dropdown

Explanation:

Analyze the first function transformation

Using the Square Root Function Transformations, Horizontal Translation, and Vertical Translation knowledge points

$$
LATEXBLOCK0
$$

Analyze the second function transformation

Using the Square Root Function Transformations, Horizontal Translation, and Vertical Translation knowledge points

$$
LATEXBLOCK1
$$

Answer:

Question 1

\(y = \sqrt{x-3}+2\) <blank>right 3, up 2</blank>

Question 2

\(y = \sqrt{x+3}-2\) <blank>left 3, down 2</blank>