1. Precalculus Section 1.7 Define and graph quadratic functions Any function that can be written in the form: y = ax 2 +bx + c is called a quadratic function. It’s graph is called a parabola. Consider the graphs of the quadratic functions: y = x 2 y = 2x 2 y = -2x 2 y = x 2 – x – 6

2. The graph of y = ax 2 +bx + c has an axis of symmetry of x = -b/2a, roots(x intercepts) which are the solution of ax 2 +bx + c= 0, a y-intercept of c, and the x value of the vertex is x = -b/2a. If a>0 the parabola opens up, if a<0 the parabola opens down. Find the x and y intercepts, axis of symmetry, the vertex, and sketch the graph of y = -x 2 + 4x - 3

3. Graph f(x) = 2x 2 + 5x - 12

4. Vertex form of a quadratic function y = a(x-h) 2 + k (h,k) is the vertex, x=h is the equation of the axis of symmetry. Find the vertex, intercepts, axis, and sketch the graph of y = -1(x+2) 2 + 3

5. Graph f(x) = 2(x-4) 2 - 5

6. Find the equation of the parabola with a vertex of (4,8) and passing through the point (2,6).

7. The path of a projectile is a parabola. A ball is thrown upward so that its height h in ft after t seconds is given by h = -16t 2 + 96t + 8. Find: a. Its height after 1.3 seconds b. The time it reaches its maximum height. c. The maximum height. d. The time when it strikes the ground.

8. Assignment Page 41 Problems 2,4,7,12,14,16,18,21,22,29,32,35