Quadratic Transformation Dilation 7C

Quadratic Transformations Dilation

Feb. 17 - 7C

Multiple Choice

Which equation would shift the quadratic function

$$f\left(x\right)=x^2$$  3 units left and 4 units up?

• $$f\left(x\right)=\left(x+3\right)^2+4$$  

• $$f\left(x\right)=3\left(x-4\right)^2$$  

• $$f\left(x\right)=\left(x-4\right)^2+3$$  

• $$f\left(x\right)=\left(x+4\right)2+3$$  

Dropdown

Determine the effects of the dilations below.

$$f\left(\frac{4}{3}x\right)$$ = ​

Select answer

$$\frac{5}{8}f\left(x\right)$$ = ​

Select answer

Match

Match the following equation to the correct transformation.

• $$f\left(x-4\right)$$

• $$-f\left(2x\right)$$

• $$f\left(x\right)-2$$

• $$-\frac{1}{4}f\left(x\right)$$

shift right

reflection & horizontal compress

shift down

reflection & vertical compress

• shift right

• reflection & horizontal compress

• shift down

• reflection & vertical compress

Drag and Drop

Which equation matches the transformation in the image?

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Placeholder

Drag these tiles and drop them in the correct blank above

Draw

ET: Draw the transformation of $$-\frac{2}{7}x^2$$