Chapter 10 Final Exam Review

Section 10.1 “Graph y = ax² + c” Quadratic Function A nonlinear function that can be written in the standard form y = ax² + bx + c where a = 0. The graph of a quadratic function is in the form of a U-shape and called a parabola.

Graphing: y = ax² + c y = x² y-axis x-axis Vertex- Axis of Symmetry- “Parent Quadratic Function” x y 1 1 2 4 3 9 -1 1 -2 4 x-axis -3 9 Vertex- the lowest or highest point of the parabola Axis of Symmetry- the line that divides a parabola into 2 symmetric parts

Section 10.4 “Use Square Roots to Solve Quadratic Equations” To use square roots to solve a quadratic equation of the form ax² + bx + c = 0, first isolate x² on one side of the equation to obtain x² = d. Solving x² = d by Taking Square Roots Examples - If d > 0, then x² = d has two solutions: - If d = 0, then x² = d has one solution: - If d < 0, then x² = d has no solution: no solution no solution

Try It Out…

Section 10.5 “Solve Quadratic Equations by the Quadratic Formula” To solve any quadratic equation of the form ax² + bx + c = 0, you can use the QUADRATIC FORMULA.

Try It Out… Solve using the quadratic equation Write in standard form Substitute for a, b, and c