Parent Functions, Key Features, Transformations, Composition

What is the parent function for an absolute value function?

• f(x)=x³
• f(x)=x
• f(x)=IxI
• f(x)=x²

What is the parent function for a cubic function?

• f(x)=x³
• f(x)=x
• f(x)=IxI
• f(x)=x²

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5
• Shifts right 5
• Shifts up 5
• Shifts down 5

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5
• Shifts right 5
• Shifts up 5
• Shifts down 5

Describe the transformation that is applied to the parent function. 
f(x) =  3 Ix+8I

• Stretches by 3, Shifts left 8
• Stretches by 3, Shifts right 8
• Stretches by 3, Shifts up 8
• Stretches by 3, Shifts down 8

Describe the transformation that is applied to the parent function. 
f(x) =  (1/2) Ix-1I -1

• Compresses by (1/2), Shifts left 1, down 1
• Compresses by (1/2), Shifts right 1, down 1
• Compresses by (1/2), Shifts left 1, up 1
• Compresses by (1/2), Shifts right 1, up 1

Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

• f(x) = Ix+4I +3
• f(x) = Ix+4I -3
• f(x) = -Ix+3I +4
• f(x) = -Ix-4I +3

What is the equation to this graph?

• f(x)= Ix+2I +1
• f(x)= Ix-2I +1
• f(x)= Ix+2I -1
• f(x)= Ix-2I -1

What is the range to this graph?

• y> 1
• y>= 1
• y< 1
• y<= 1

What is the vertex:
f(x)= -(5/2) Ix-4I ?

• (0,4)
• (4,2)
• (2,4)
• (4,0)