The Discriminant CA 22.0, 23.0.

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Presentation transcript:

The Discriminant CA 22.0, 23.0

Objective - To use the discriminant to determine the number of real solutions for a quadratic.

The “Parts” of the Quadratic Formula The DISCRIMINANT The axis of symmetry

Quadratic Formula Discriminant Used to find the number of roots (how many roots). Used to find the roots of a quadratic equation... Two real roots One real root No real roots

Determine the number of roots for the quadratic equation below. Two Real Solutions

Determine the number of x-intercepts for the quadratic equation below. No Real Solution

Determine the number of x-intercepts for the quadratic equation below. One Real Solution

b c a Match each equation below with its graph. a) b) c) No Real Roots Two Real Roots a One Real Root

Tell whether the vertex lies above, below, or on the x-axis. Opens up Opens down No Real Roots Two Real Roots Vertex lies Above x-axis Vertex lies Above x-axis