Quadratic Functions Worksheet - Unit #4 & 5 Review Page 3
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7MPM2D
Unit #4 & 5 Review
Quadratic Functions
Graphing Quadratic Functions in Factored Form
The coordinates of the vertex of a quadratic function can be found by using the
zeroes.
Step 1:
Find the zeroes by solving the quadratic equal to zero
Step 2:
Find the x-coordinate of the vertex by finding the “Axis of Symmetry”
x
x
of the zeroes
1
2
2
Step 3:
Substitute this x-value into the original equation to find the y-
coordinate of the vertex.
Use the x-intercepts to find the coordinates of the vertex. Sketch your answer
showing the x-intercepts and the vertex.
a)
b)
y
(
x
3)(
x
1)
y
2(
x
1)(
x
7)
c)
d)
y
2(2
x
1)(
x
2)
y
(2
x
1)(2
x
5)
Graphing Quadratic Functions in Vertex Form
The coordinates of the vertex of a quadratic function can be found easily and the
zeroes found by letting y=0.
Step 1:
State the vertex (h,k)
Step 2:
Let y = 0
Step 2:
Rearrange and solve for x. DO NOT expand!!!
Use the vertex and solve for the zeroes of the function to graph
a)
b)
2
2
y
2(
x
1)
2
y
3(
x
2
)
1
2
c)
2
y
(
x
1)
4
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