Transformation from Parent Functions Graphing

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

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What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

Which of these equations shifts a radical equation left 3 times?

• y = √(x) + 3

• y = √(x) - 3

• y = √(x + 3)

• y = √(x - 3)

Tags

CCSS.HSF.BF.B.3

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1

• y = √(x + 5) - 1

• y = √(x - 5) + 1

• y = √(x + 5) + 1

Tags

CCSS.HSF-IF.C.7B

Match the correct equation with the given graph.

• y = √(x) + 2

• y = √(x) - 2

• y = √(x + 2)

• y = √(x - 2)

Tags

CCSS.HSF-IF.C.7B

Match the correct equation with the given graph.

• y = √(x - 3)

• y = √(x) + 3

• y = √(x + 3)

• y = √(x) - 3

Tags

CCSS.HSF-IF.C.7B

Match the correct equation with the given graph.

• y = - √(x + 1)

• y = √(x + 1)

• y = - √(x) - 1

• y = - √(x) + 1

Tags

CCSS.HSF-IF.C.7B

Describe the transformation.

• Left 1, Reflect over x-axis, up 2

• Left 1, Reflect over y-axis, down 2

• Right 1, Reflect over x-axis, up 2

• Right 1, Reflect over y-axis, uo 2

Tags

CCSS.HSF.BF.B.3