Radical parent function shifted right 4 units and down 2 units. Options: $$g\left(x\right)=\sqrt[]{x+4}-2$$ , $$g\left(x\right)=\sqrt[]{x-4}-2$$ , $$g\left(x\right)=\sqrt[]{x+2}-4$$ , $$g\left(x\right)=\sqrt[]{x-4}-2$$

$$g\left(x\right)=\sqrt[]{x-4}-2$$

Transformation of quadratic parent function: $$g\left(x\right)=-\left(x+2\right)^2+3$$

Graph representing the transformation.

Transformation of quadratic parent function: $$g\left(x\right)=\left|\left(x+2\right)^2+3\right|$$

Graph with vertex at (-2, 3) and opening upwards

Which equation represents the transformed reciprocal function to the left? Options: $$h\left(x\right)=\left|\frac{1}{-x}\right|$$ , $$h\left(x\right)=\left|\frac{1}{x}\right|$$ , $$h\left(x\right)=\left|\frac{1}{x+1}\right|$$ , $$h\left(x\right)=\left|\frac{1}{x-1}\right|$$

$$h\left(x\right)=\left|\frac{1}{x+1}\right|$$

The graph to the left represents $$f(x)$$ . Which of the following best represents the function $$f(-x)$$ ?

Reflect the graph of $$f(x)$$ over the y-axis.

Review - Rigid Transformations of Parent Functions

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Mathematics

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9th - 12th Grade

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Practice Problem

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Hard

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CCSS

HSF.BF.B.3, HSF-IF.C.7D, HSF-IF.C.7B

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FLASHCARD QUESTION

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Reciprocal Function, Radical Function

FLASHCARD QUESTION

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FLASHCARD QUESTION

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