9.5-6 RWS Autograph: _____________________________________ ______ #1-6, 33 a. Find the discriminant b. Determine the number of solutions c. Find all real solutions 1. a2 + 8a + 7 = 0 2. v2 - 4v = -6 4. 2a2 + 9a = 5 5. v2 + 16 = -8v 3. 10 -6d = -d2 6. - 2a2 - 9a + 12 = 0 #7-9, How many x-intercepts will the graph of each equation have? ( 1 pt ea.) 7. y = 4x2 + 10 10. Graph y = 8. y = x2 - 8x + 16 -x2 + 2x + 10 9. y = 3.5x2 + 5x - 2.5 on the coordinate plane at right. a. What is the vertex of graph? (2) b. What are the x-intercepts for this graph? (2) c. What are the solutions to this equation? (1) d. When does -x2 + 2x + 10 = 7? (1) e. How many solutions to 11 = -x2 + 2x + 10? (1) f. How many solutions to 15 = -x2 + 2x + 10? (1) 11. An potato is launched at 58 feet per second from a 175-foot tall platform. ( 1 pt ea.) a. Write the equation for the potato's height in feet(h), at time t seconds after launch (h(t) = -16t2 + vt + s). b. Exactly when does the object strike the ground (round to 100ths)? c. How high does the potato get?
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