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Parent Functions Practice
Name ______________
1. Which equation is the parent function of a quadratic equation?
A
B
C
D
x = y2
y=x
y = |x|
y = x2
2. Which equation is the parent function of a linear equation?
A
B
C
D
x=y
y=x
y = |x|
y = x2
3. Which equation is the parent function of the graph below?
A
B
C
D
y=x
y=2
y = x2
y=x+2
4. Which graph is described by y =x ?
5. If the graph of any function is a parabola, then its parent function is:
A
B
C
D
y = 2x2
y=x
y = x2
y = |x|
6. What is the parent function of y = -x2?
A
B
C
D
y = 2x2
y=x
y = x2
y = |x|
7. The graph below represents which type of parent function?
A
B
C
D
Exponential
Absolute value
Linear
Quadratic
8. Which of the following does not describe the graph of the parent
function of a quadratic equation?
A
B
C
D
The graph has its vertex at the origin.
The graph is a parabola that opens upward.
The graph has the x-axis as its line of symmetry.
The graph has a minimum value at (0, 0).
9. If the graph of any function is a line, then its parent function is:
A
B
C
D
x=y
y=x
y = x2
x = y2
10. Which of the following does not describe the graph of the parent
function of a linear equation?
A
B
C
D
The graph passes through the coordinate point (0, 0).
The graph represents a function with a positive slope.
The graph represents a function with a negative slope.
The graph passes through the coordinate point (1, 1).