Functions and Transformations

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^x-3

• shifted up three units

• shifted down three units

• shifted left three units

• shifted right four units

How is this function transformed from the parent function?

• Translated left

• Translated right

• Translated down

• Translated up

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4

• Right 4

• Up 4

• Down 4

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

The parabola 
f(x)=(x+3)²+2
has a vertex of (-3, 2) and a y-intercept (0,11).

• True

• False

What is the vertex form for a vertex of (1, 5) and when a=3?

• f(x) = 3(x-1)² +5

• f(x) = 1(x-3)²+5

• f(x) = 3(x-5)²+1

• f(x) = 3(x+1)²+5

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4

• Horz shift left 2    Vert shift up 4

• Horz shift right 2      Vert shift down 4

• Horz shift left 2      Vert shift up 4

How is this function transformed from the parent function?

• Translated left

• Translated right

• Translated down

• Translated up