Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 10
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30Unit 2 – Quadratics
Math 2200
10
Domain/Range, y-intercept and graphing
Recall from math 1201:
Domain is the set of all possible x-values for a function.
Range is the resulting set of y-values for a function.
2
For all quadratic functions in vertex form:
y
a
(
x
p
)
q
Domain is
.
{
x
}
Range depends on two things:
1. y-coordinate of the vertex
2. direction of opening
if a > 0, (opens up) then
{
y
|
y
q
,
y
R
}
if a < 0, (opens down) then
{
y
|
y
q
,
y
R
}
y-intercept is where the graph crosses the y-axis
At the y-intercept the x-coordinate is 0.
Example 1: Determine the domain, range and y-intercept for the following
quadratics in vertex form:
2
2
(A) �� = −2(�� + 1)
− 3
(B) �� = 4(�� − 3)
2
(C) �� = −2(�� + 1)
+ 6
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