Algebra Two Nine Weeks Exam

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

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

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4
• f(x) = { x  if x ≤ 4;  -x+1  if x > 4
• f(x) = { -x+1  if x < 4;  x  if x ≥ 4
• f(x) = { -x+1  if x ≤ 4;  x if x > 4

Is this the correct graph of g(x) ?

• Yes
• No

Which of the 3 piecewise equations is depicted by the graph? (Take your time)

• f(x)
• g(x)
• h(x)

Name the parent function. 

• constant
• quadratic
• linear
• exponential