Parent functions and Transformations of Algebra 2

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Name the parent function. 

• constant
• square root
• linear
• absolute value

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3
• Translated left 3
• Translated up 3
• Translated down 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2
• y = -x² + 2
• y = x² - 2
• y = -(x + 2)²

Tags

CCSS.HSF.BF.B.3

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

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

• vertical stretch times 2

• horizontal stretch times 2

• shift left 3 units

• shift up 5 units

• shift right 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Which of the following square root curves have translated left 7?

• $y=\sqrt{x}-7$

• $y=\sqrt{x}+7$

• $y=\sqrt{x-7}$

• $y=\sqrt{x+7}$

Tags

CCSS.HSF-IF.C.7B