Transformation of Linear Function 11/12

Multiple Choice

f(x) was horizontally stretched by changing b to $$\frac{1}{6}$$ to create h(x).

• $$f\left(x\right)=\left(\frac{1}{6}x\right)$$

• $$f\left(x\right)=\left(-\frac{1}{6}x\right)$$

• $$h\left(x\right)=\left(\frac{1}{6}x\right)$$

• $$h\left(x\right)=\left(-\frac{1}{6}x\right)$$

Multiple Choice

f(x) was horizontally compressed by changing b to $$\frac{5}{3}$$ to create h(x).

• $$-f\left(\frac{5}{3}x\right)$$

• $$f\left(-\frac{5}{3}x\right)$$

• $$f\left(\frac{5}{3}x\right)$$

• $$h\left(\frac{5}{3}x\right)$$

Multiple Choice

f(x) was vertically stretched by a factor of 5 to create h(x).

• $$5-f\left(x\right)$$

• $$5h\left(x\right)$$

• $$-5f\left(x\right)$$

• $$5f\left(x\right)$$

Multiple Choice

f(x) was vertically compressed by a factor of $$\frac{3}{4}$$ to create h(x).

• $$\frac{3}{4}h\left(x\right)$$

• $$\frac{3}{4}f\left(x\right)$$

• $$-\frac{3}{4}f\left(x\right)$$

• $$\frac{3}{4}-f\left(x\right)$$

Open Ended

Do the functions j(x) and t(x) have a different steepness compared to one another?

Sentence Stem (Functions j(x) and t(x) do/do not have different steepness because…)

Multiple Choice

Katrina graphed the function f(x) and then transformed the function to form k(x). Which statement describes how the graphs of f and k are related?

• A.

• B.

• C.

• D.

Multiple Choice

Ms. Chandler had her students transform the linear parent function f(x) = x by vertically compressing the function to create j(x). Which of the following represents a vertical compression?

• A.

• B.

• C.

• D.

Multiple Select

Milo graphed the the function f(x) = x and transformed it to form w(x) with a vertical reflection and horizontal compression. Which equations could represent w(x)? Select TWO correct answers.

• A.

• B.

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• D.

• E.

Multiple Choice

Leticia graphed the function f(x) = x and transformed it to create  $$f\left(\frac{2}{5}x\right)$$ . Which graph represents f and h?

• A.

• B.

• C.

Multiple Choice

Mr. Gomez had his students transform the linear parent function f(x) = x by vertically stretching the function to create j(x). Which of the following represents a vertical stretch?

• A.

• B.

• C.

• D.

Multiple Choice

Lahn graphed the function f(x) = x and transformed it to create   $$f\left(\frac{3}{4}x\right)$$  . Which graph represents f and h?

• A.

• B.

• C.