5.5 – The Quadratic formula Objectives: Use the quadratic formula to find real roots of quadratic equations. Use the roots of a quadratic equation to locate.

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Presentation transcript:

5.5 – The Quadratic formula Objectives: Use the quadratic formula to find real roots of quadratic equations. Use the roots of a quadratic equation to locate the axis of symmetry of a parabola. Standard: N. Solve quadratic equations.

QUADRATIC FORMULA: If ax 2 + bx + c = 0 and a ≠ 0, then the solutions, or roots, are

Use the quadratic formula to find the roots. Give exact solutions & approximate solutions to the nearest tenth. Example 1a.

Example 1b. Use the quadratic equation to solve: x 2 – 7x + 6 = 0

Example 1c Use the quadratic equation to solve: 4x 2 = 8 – 3x

Example 1d Use the quadratic equation to solve: 2x 2 – 6x = -3

Finding the Axis of Symmetry and Vertex of a Parabola

Example 1a

Example 1b * Write the equation for the axis of symmetry and find the coordinates of the vertex: f(x) = x 2 – 4x + 1

Example 1c * Write the equation for the axis of symmetry and find the coordinates of the vertex: 7x 2 + 6x - 5

Example 1d * Write the equation for the axis of symmetry and find the coordinates of the vertex: x 2 + 9x + 14

Writing Questions

Homework Pg. 311 #10-46 even