Quadratic Models Using Vertex Form Worksheet With Answer Key
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1
25.4
Quadratic Models Using Vertex Form
Pg275
If you know the coordinates of the vertex ℎ,
and one other point on a parabola, you can
=
− ℎ
+ .
determine the equation of the relation using
Note:
The vertex form of an equation can be determined using the
zeros of the graph. The axis of symmetry is
= ℎ, where h is
the mean of the zeros.
You can convert a quadratic equation from vertex form to
standard form by expanding and then collecting like terms.
Example 1
The Best Bread Bakery wants to determine its daily profit
from bread sales. This graph shows the data gathered by
the company. Determine the equation of this quadratic
relation from its graph.
=
− ℎ
+
300 =
0.75 − 1.75
+ 400
300 − 400 =
−1
−100 =
= −100
− 1.75
+ 400
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