1. Algebra 1 9.6 Solving Quadratic Equations by the Quadratic Formula

2. QUADTRATIC FORMULA The solutions of the quadratic equation ax 2 + bx + c = 0 are When a ≠ 0 And b 2 – 4ac ≥ 0

3. Use the quadratic formula to solve the equation. 1. 2x 2 + x – 10 = 0 2. -x 2 + 3x + 4 = 0 3. x 2 + 5x – 6 = 0

4. Use the quadratic formula to solve the equation If the solution involves radicals, round to the nearest hundredth. 1. 7x 2 – 1 = -2x 2. -3x 2 + x = -5

5. X-INTERCEPTS OF A GRAPH Find the x-intercepts of the graph of y = x 2 - 3x – 10

6. Vertical Motion Models OBJECT DROPPED h = -16t 2 + s h = height s = initial height t = time OBJECT THROWN h = -16t 2 + vt + s h = height s = initial height t = time v = initial velocity

7. Model Vertical Motion You are competing in the field target event at a hot-air balloon festival. From a hot-air balloon directly over a target, you throw a marker with an initial downward velocity of -30 feet per second from a height of 200 feet. How long does it take the marker to reach the target?

8. Model Vertical Motion You jump off a 15-foot high diving board with an initial upward velocity of 3 ft/sec. How long will it take you to hit the water?