1. Algebra 2cc Section 2.9 Use a graphing calculator to graph functions, find max/min values, intercepts, and solve quadratic equations Recall: The graph of a quadratic function y = ax 2 + bx + c is a parabola

2. Use a graphing calculator to graph the parabola, find its max/min value, and its x intercepts. y = x 2 + x - 6y = -½ x 2 - 3x + 4

3. Steps to graph a function. Graph an equation TI 84 Set the window (domain and range) by using the keys Zoom Zstandard Y= Type in the equation using [X,T,θ] for the variable. Press Graph TI Nspire Use scratchpad: [B Graph] menu Graph type Function Type equation f(x)= Find the maximum/ minimum/ zero of a function’s graph TI 84 Graph the function using the Y= key (see instructions for graphing) 2nd Trace max/min/zero Move the cursor to the left of the max/min/zero and enter. Move the cursor to the right of the max/min/zero and enter. Move the cursor close to the max/min/zero and enter. The max/min/zero appears at bottom of screen. TI N-spire Graph the function (see instructions for graphing) menu Analyze graph max/min/zero Move the cursor to the left of the max/min/zero and enter. Move the cursor to the right of the max/min/zero and enter. Move the cursor close to the max/min/zero and enter. The max/min/zero appears at bottom of screen.

4. Use a graphing calculator to graph the parabola, find its max/min value, and its x intercepts. y = 2x 2 + 3x + 8

5. The real solutions to a quadratic equation ax 2 + bx + c = 0 can be found using a graphing calculator. Find all real solutions using a calculator. 3x 2 + 16x + 5 = 0 Solve a polynomial equation TI84 (solve graphically) Graph the equation as a function. (set it equal to y) 2nd Trace Zero/root Move the cursor to both sides of the x intercept hitting [enter] on left(lower) and right(upper) bound. The zero(root/solution) will appear at bottom of screen. TI Nspire Use scratchpad: [A Calculate] Menu algebra Polynomial tools Find roots of poly Enter the degree (2 for quadratic). Enter type of roots (real of complex). Enter the coefficients of the polynomial equation.

6. Find the real solutions using a graphing calculator. -5x = 2x 2 - 73x 2 + 5x = 2

7. An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is h = –4.9t 2 + 19.6t + 58.8, where h is in meters. When does the object strike the ground? When does it reach its maximum height? What is the maximum height?

8. A rectangle corral is to be built using 70m of fencing. If the fencing has to enclose all four sides of the corral, what is the maximum possible area of the corral in square meters? Assignment: worksheet