Parent Function Translations

A transformation in which a graph is picked up and moved to another location.

• Translation

• Rotation

• Reflection

• Stretch

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Describe the transformation of the graph f(x) = 2^x ----> g(x) = (2)^x + 6

• Right 6

• Left 6

• Up 6

• Down 6

Tags

CCSS.HSF.BF.B.3

If the parent function is f(x) = √(x) then what translation describes what would happen to the graph.

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF-IF.C.7B

Which equation would represent a move of 2 units up for parent function f(x) = 7x

• g(x) = 9x

• g(x) = 7x + 2

• g(x) = 7(x+2)

• g(x) = 7(x-2)

What kind of shift is represented?

• up 1 unit

• left 1 unit

• right 1 unit

• down 1 unit

Tags

CCSS.HSF.BF.B.3

What transformations have happened to f(x) = 2^x if the new equation is g(x) = 2^(x+3) -6

• It stayed the same

• up 3, left 6

• right 3, down 6

• left 3, down 6

Tags

CCSS.HSF.BF.B.3

Which parent function matches the graph?

• f(x) = x

• f(x)= x²

• f(x) = |x|

• f(x) = ab^x

Which parent function matches the graph? 

• f(x) = x

• f(x) = x²

• f(x) =√(x)

• f(x) =∛(x)

Name the parent function. 

• constant

• square root

• linear

• absolute value

What is the equation of this graph?

• f(x) = -(x + 1)² + 3

• f(x) = -(x - 1)² + 3

• f(x) = -(x + 1)² - 3

• f(x) = -(x + 1)² - 3

Tags

CCSS.HSF-IF.C.7A