Graphing Function Transformations

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

What are the transformations of this functions compared to the parent function?

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3

Determine the equation for the red graph.

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

If (2, 3) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = f(x + 1) + 3

• (3 , 6)

• (1 , 6)

• (5 , 0)

• (-1 , 0)

Which choice correctly shows the vertical shift in the graph?

• (x-2)³

• (x+2)³

• x³ + 2

• x³ - 2

Which choice correctly shows the horizontal shift in the graph?

• (x+1)³

• (x-1)³

• ∛(x+1)

• ∛(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

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