Transformations of Parent Functions

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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

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

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

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

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

Describe the transformation.

• up 3

• down 3

• left 3

• right 3

Tags

CCSS.HSF.BF.B.3

If the blue function is f(x)=x², then the red function must be

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