U2-LT10-Transformations

If g(x) is a transformation of f(x) and g(x) = af(x + b) + c, what effect does c have on the transformation?

• Shift up c units

• Shift down c units

• Shift right c units

• Shift left c units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

If g(x) is a transformation of f(x) and g(x) = af(x + b) + c, what effect does b have on the transformation?

• Shift up b units

• Shift down b units

• Shift right b units

• Shift left b units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

If g(x) is a transformation of f(x) and g(x) = af(x + b) + c, what effect does a have on the transformation?

• Shift up a units

• Make the graph wider or narrower

• Shift right a units

• Reflect the graph over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

• 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.

If the yellow curve has equation f(x)=x², and the blue curve, g(x), is the transformation of f(x), then...

• Then the blue curve is g(x) = f(x) - c

• Then the blue curve is g(x) = f(x - c)

• Then the blue curve is g(x) = f(x + c)

• Then the blue curve is g(x) = f(x) + c

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

The point (-4, 5) of the quadratic function f(x) is shown in the picture. If g(x) = f(x + 2) , where would that same point of g(x) be located?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

Describe the transformations that maps

g(x) to b(x) = - g(x + 6) - 10

• Reflect over y-axis

  Shifted right 6 units

  Shifted down 10 units

• Reflect over x-axis

  Shifted right 6 units

  Shifted down 10 units

• Reflect over y-axis

  Shifted right 6 units

  Shifted up 10 units

• Reflect over x-axis

  Shifted left 6 units

  Shifted down 10 units

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x) = 2f(x)

• g(x) = 0.5f(x)

• g(x) = f(x) + 2

• g(x) = f(x + 2)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

.

The blue graphs is the parent function f(x)=|x|, the red function is the transformed function, g(x). The equation of g(x) must be

• g(x) = |x + 2|

• g(x) = |x| + 2

• g(x) = |x - 2|

• g(x) = |x| - 2

Describe the transformation that occurred when f(x) is mapped onto p(x) if p(x) = f(x + 3)

• Right 3 units

• Narrower

• Up three units

• Left three units