The Zeros of a Quadratic
March 12, 2015
What's Going On?
Weekend Assignment
How Many Zeros?
The Discriminant, a and k
TIPS
Learning Goal ­ I will be able to use the discriminant to determine the number of roots.
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The Zeros of a Quadratic
March 12, 2015
L.G.L.
Please do this before you RAFT
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The Zeros of a Quadratic
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The Zeros of a Quadratic
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The Zeros of a Quadratic
March 12, 2015
Weekend Assignment
Due today*
Unit Test
Next Next Thursday
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The Zeros of a Quadratic
March 12, 2015
How many zeros?
For each quadratic equation, determine the number of zeros / x­intercepts.
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The Zeros of a Quadratic
March 12, 2015
How many zeros?
We can have:
two distinct roots
two equal roots
no real roots
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The Zeros of a Quadratic
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Two Distinct Roots
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The Zeros of a Quadratic
March 12, 2015
Two Equal Roots
(Double Root)
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The Zeros of a Quadratic
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No "Real" Roots
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The Zeros of a Quadratic
March 12, 2015
How many zeros?
How can we discriminate between quadratics with two
distinct roots, two equal roots and no equal roots using
The Quadratic Formula?
two distinct roots
two equal roots
no real roots
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The Zeros of a Quadratic
March 12, 2015
How many zeros?
How can we discriminate between quadratics with two
distinct roots, two equal roots and no equal roots using
The Quadratic Formula?
n
We use the
discriminate
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The Zeros of a Quadratic
March 12, 2015
How many zeros?
How can we discriminate between quadratics with two
distinct roots, two equal roots and no equal roots using
The Quadratic Formula?
We use the discriminant
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The Zeros of a Quadratic
March 12, 2015
The Discriminant
two distinct roots
The discriminant is
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The Zeros of a Quadratic
March 12, 2015
The Discriminant
two equal roots
The discriminant is
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The Zeros of a Quadratic
March 12, 2015
The Discriminant
no real roots
The discriminant is
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The Zeros of a Quadratic
March 12, 2015
How many zeros?
Given Vertex Form
How can we determine the number of zeros a quadratic has given its vertex form equation?
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The Zeros of a Quadratic
March 12, 2015
How many zeros?
For each quadratic equation, determine the number of zeros / x­intercepts.
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The Zeros of a Quadratic
March 12, 2015
How many zeros?
For each quadratic equation, determine the number of zeros / x­intercepts.
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The Zeros of a Quadratic
March 12, 2015
TIPS
*NOT IN YOUR NOTE!*
Determine the value of k so that the quadratic function below has only one zero.
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The Zeros of a Quadratic
March 12, 2015
TIPS
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The Zeros of a Quadratic
March 12, 2015
TIPS
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The Zeros of a Quadratic
March 12, 2015
Test 1
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The Zeros of a Quadratic
March 12, 2015
Test 1
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