03.05 (Wednesday)

Multiple Choice

Which statement is true?

• The vertex of g(x) will be shifted 6 units from f(x).

• g(x) will narrower than f(x).

• g(x) will be wider than f(x).

• The vertex of g(x) will be shifted 6 units from f(x).

Multiple Choice

Which answer choice describes how the graph of f(x) = x² was transformed to create g(x) = (4x)² ?

• A

• B

• C

• D

Multiple Choice

Which answer choice describes how the graph of f(x) = x² was transformed to create g(x) = (1/3  x)² ?

• A

• B

• C

• D

Fill in the Blanks

Take 90 seconds to enter the equations in Desmos. Write one ward that represents these graphs.

Multiple Select

Which of the following equations could represent function g?

Select THREE correct answers.

• $$g\left(x\right)=\left(\frac{1}{5}x\right)^2$$

• $$g\left(x\right)=\left(\frac{1}{6}x\right)^2$$

• $$g\left(x\right)=\left(6x\right)^2$$

• $$g\left(x\right)=\left(5x\right)^2$$

• $$g\left(x\right)=\left(\frac{6}{7}x\right)^2$$

Categorize

Options (4)

Label each graph as a horizontal stretch or horizontal compression of the parent function f(x) = x².

Horizontal Stretch

Horizontal Compression

Multiple Choice

Which answer choice describes how the graph of f(x) = x² was transformed to create the graph j(x) = (5x)²?

• A

• B

• C

• D

Multiple Choice

Given f (x) = x², which of the following will always result in a horizontal stretch of f(x)?

• A

• B

• C

• D

Multiple Choice

Which of these describes the transformation from the graph of g to the graph of h?

• A

• B

• C

• D