2-6 Family of Functions and Transformations

What is the name of the parent function and equation for the graph?

• Cubic - y = x³
• Cube Root - y = ∛x
• Exponential - y = 2^x
• Logarmithic - y = log(x)

Tags

CCSS.HSF-IF.C.7B

What is the name of the parent function and equation for the graph?

• Rational - y = 1/x
• Absolute Value - y = |x|
• Linear - y = x
• Quadratic - y = x²

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

Identify the transformation of the equation.

• Reflect/Left 1/Down 8
• Left 1 /Down 8
• Right 1/Down 8
• Reflect/Right 1/ Down 8

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Identify the transformation of the equation.

• Reflect/Left 5/Down 2
• Reflect/Right 5/Up 2
• Reflect/Right 2/ Down 5
• RIght 5/Up 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

f(x) = ⅔(x - 7)²

• Shrink of ⅔

  Right 7

• Shrink of ⅔

  Left 7

• Stretch of ⅔

  Right 7

• Stretch of ⅔

  Left 7

Describe the transformation of y = (x - 4)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of y = x² + 4

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

Tags

CCSS.HSF.BF.B.3