Unit 3 Quadratics Relations 1 Worksheet Page 34
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45MBF3C
Name:
BLM3.5.2
Date:
Factored Form of a Parabola
Factored Form of a Quadratic Relation:
y = a(x – s)(x – t)
This controls the direction and
The opposites of these numbers
opening as well as the step
are the zeroes of the parabola. In
pattern (same as in vertex form!)
this case, the parabola would have
zeroes of s and t. (or officially, (s, 0)
and (t, 0)
Practice: Fill in the table for each parabola equation.
Equation
y = 3(x – 3)(x + 5)
y = –(x + 2)(x + 6)
y = x(x + 8)
Zeros
Direction of
Opening
Axis of
Symmetry
Step Pattern
Practice: Find the vertex of the middle parabola, and then sketch it.
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