Linear and Quadratic Transformations

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

CCSS.HSF.IF.C.7

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

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

Name the parent function. 

• constant
• quadratic
• linear
• exponential

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Name the parent function.

• quadratic
• cubic
• square root
• logarithmic

Tags

CCSS.HSA.APR.A.1

CCSS.HSG.GPE.A.2

Tell how the function transformed from y =x²
y = -2x²

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

• Moves the graph up 2 units

• Vertical stretch of scale factor 2

• Reflects the graph across the x-axis

• Moves the graph 2 units to the left

Tags

CCSS.HSF.BF.B.3