Aim : How do we solve systems of equations graphically? Do Now: Graph both equations on the calculator y = x 2 – 3 y = x – 3 HW: p.236 # 4,6,8,10,12,14,60 p.243 #82

y = x 2 – 3 y = x – 3

Solve the system: y = x 2 – 2x – 1 y = – 2 y = x 2 – 2x – 1 y = – 2

Solve the system: y = x 2 – 2x + 3 y = ½ x – 2 y = x 2 – 2x + 3 y = ½ x 2 – 2

If the graphs intersect at two points, then there are two solutions If the graphs intersect at one point, then there is one solution If the graphs does not intersect at, then there is no solution

Solve the system: (x – 2) 2 + (y + 1) 2 = 10 y = x – 1 (3,2) (-1,-2) (x – 2) 2 + (y + 1) 2 = 10 y = x – 1

1. Solve the system: y = x 2 + 5x – 2 y = 2x 2. A soccer ball is kicked upward from ground level with an initial velocity 52 feet per second. The equation y = -16t t gives the ball’s height in feet after t seconds. To the nearest tenth of a second during what period of time was the height of the ball at least 20 feet? Use graphing calculator to solve the followings

3. The profit equation, in thousands of dollars, for a company that makes graphing calculators is y = -5x x – , where x is the number of calculators sold in the millions. Graph the profit equation How many calculators must the company sell in order to make a profit? a. graph the profit equation b. how many calculators must the company sell in order to make a profit? x = 1061