Graphing Equations Transformations

• h(x) = (x-4)² + 1

• h(x) = (x-4)² + 17

• h(x) = (x-2)² + 1

• h(x) = (x-2)² + 17

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Tags

CCSS.HSF-IF.C.7B

• y = h(x) - 2

• y = h(x-2)

• y = -h(x)

• y = h(-x)

Tags

CCSS.HSF.BF.B.3

• Vertical translation up 3 units

• Vertical stretch by a factor of 3

• Vertical compression by a factor of 3

• Horizontal translation left 4 units

• Vertical translation up 4 units

Tags

CCSS.HSF.BF.B.3

• Reflection over the x-axis

• Reflection over the y-axis

• Horizontal stretch by a factor of 2

• Horizontal compression by a factor of 1/2

• Vertical translation down 2 units

Tags

CCSS.HSF.BF.B.3

• Vertical compression by a factor of 3

• Horizontal compression by a factor of 1/3

• Horizontal translation left 9 units

• Horizontal translation left 3 units

• Horizontal stretch by a factor of 3

• Reflection over x-axis

• Reflection over y-axis

• Horizontal translation right 4 units

• Horizontal translation left 4 units

• Vertical translation up 1 unit

Tags

CCSS.HSF.BF.B.3

The solid line represents is the graph of g(x) which is a transformation of the graph of the dotted line, f(x). Which equation best represents the equation of g(x) in terms of f(x)?

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 

• Shifted right 2 units and down 5 units 

• Vertical stretch by a factor of 2; translated left 5 units

• Vertical stretch by a factor of 2; translated right one unit 

Tags

CCSS.HSF.BF.B.3