Graphing Quadratics Worksheet Page 16

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Section 2
 First, you need to write the roots in intercept form.
p
q
Intercept Form: y = (x – p)(x – q), where
is your first root and
is your
second root.
 Second, multiply out the binomials like in section 1.
Write the quadratic function in
Write the quadratic function in
standard form given the roots:
standard form given the roots:
0 and 6
-2 and 3
Section 3
2
h
VERTEX Form: y = (x - h)
+ k, where
is the x-value of the
k
vertex and
is the y-value of the vertex.
In order to get the standard form on the quadratic into vertex form, we can
complete the square like in lesson 10.2 or find the vertex and plug into vertex
form.
Write the given quadratic function in
Write the given quadratic function
2
vertex form: y = x
+ 10x + 17
2
in vertex form: y = x
– 4x + 8

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