1. Chapter 10 Final Exam Review

2. 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.

3. 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

4. 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

5. Try It Out…

6. 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.

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