Precal Functions

Suppose (8,5) is the point of the graph y= f(x). What translation has occurred to the graph of f(x) if the new point is now (16,5)?

• A vertical Stretch by a factor of 2

• A horizontal translation 8 units to the left.

• A horizontal translation 8 units to the right.

• A vertical stretch by a factor of (1/2)

Suppose (5,3) is the point of the graph y= f(x). What translation has occurred to the graph of f(x) if the new point is now (5,-3)?

• A Reflection over the y-axis.

• A vertical translation nine units down.

• A horizontal translation three units to the left.

• A reflection over the x-axis.

Suppose (8,5) is the point of the graph y= f(x). What translation has occurred to the graph of f(x) if the new point is now (16,5)?

• Vertical stretch by one half.

• A horizontal translation eight units to the left.

• A horizontal stretch by a factor of two.

• horizontal stretch by a factor of one half.

Suppose (5,3) is the point of the graph y= f(x). What translation has occurred to the graph of f(x) if the new point is now (-5,3)

• A reflection over the x-axis.

• A horizontal translation five units to the left.

• A vertical translation five units up.

• A reflection over the y- axis.

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

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

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

Describe the transformation from dotted to solid.

• f(x + 4)
• f(x - 4)
• f(x) + 4
• f(x) - 4

Describe the transformation from dotted to solid.

• f(x + 5) + 3
• f(x +3) + 5
• f(x - 5) + 3
• f(x - 3) + 5