1. Chapter 10 Review for Test

2. Section 10.1:Graph y = ax² + c Quadratic Equation (function) _____________ Parabola is the name of the graph for a quadratic Equation. The shape of a parabola is __________. The Quadratic Parent Equation is _____.

3. Section 10.1:Graph y = ax² + c Shift parabola up Y=x² + c Shift parabola down. Y=x² - c Narrow the Parabola If | a| > 1 Y=3x² Widen the Parabola If a>0 and a< 1 Y=½ x² Flip around the Parabola (invert) Y= -x²

4. Section 10.1:Graph y = ax² + c A is the leading coefficient B is 0 if there is no middle term with a single variable. C is the y intercept. To graph: 1)Create a table of values (at least 3 to 5 coordinates are needed).

5. Section 10.2: Graph y = ax² + bx + c To graph any equation always use a table of values. A Quadratic Equation with a middle term “bx” causes a change on the vertex and the line of symmetry.

6. Section 10.2: Graph y = ax² + bx + c To Graph a quadratic equation with a new vertex and line of symmetry. 1)Find the line of symmetry 2)Use the value of x as the X-coordinate of the vertex. To find the y-coordinate of the vertex, substitute for x in the function. 3) Based on your new vertex and line of symmetry, select a few points of equal distance to create your table of values to graph the equation.

7. Section 10.3: Solving Quadratic Equations by Graphing A zero is also known as the solution of a quadratic function.

8. Section 10.6: Solve Quadratic Equations with the Quadratic Formula The quadratic formula was developed to find the values of x that make the function true. –Example: What are the solutions of x² + 12x + 11 =0 A)-2,22 B) -1,-11 C) 1,11 D) 2, 22

9. Section 10.7: Predict the number of solutions before using Quadratic Equation A portion of the quadratic equation is used to predict how many solutions the function will have. Since all quadratic equations are of degree 2, then there is a maximum of 2 solutions that can be found using the Quadratic formula. It is also possible to find only 1 solution or no solution at all. Remember that by solutions we mean values of x that will make the equation true.

10. Section 10.7: Predict the number of solutions before using Quadratic Equation To predict the number of solutions use the expression b²- 4ac. This expression is known as the DISCRIMINANT. When b²- 4ac >0 Then 2 solutions When b²- 4ac =0 Then 1 solutions When b²- 4ac <0 Then NO SOLUTIONS

11. Book Review Pg 696-700 (1,5-10,12,24-30,31-36)