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[9.01] What is the value of the coefficient "b" when the quadratic equation y = (3x + 2)(2x − 1) is written in standard form? −7 −2 1 6 2. [9.01] Which equation is a quadratic equation? y + 7 = −3x(4 − x) + 9x y = −2x + 5 y + 2x3 = (2x − 2)(x + 5) y − 9x = (x2 + 1)(5x − 1) + 3 3. [9.01] The graph of which quadratic equation is shown below? a u-shaped graph on a coordinate plane that is opening up and has a vertex of (−3, −1) y = −x2 + 6x + 8 y = −x2 − 6x + 8 y = x2 + 6x + 8 y = x2 − 6x + 8 4. [9.01] Identify the vertex for the graph of y = −2x2 − 12x + 5. (3, −13) (−3, −13) (−3, 23) (3, 23) 5. [9.01] Determine whether the graph of y = 3x2 + 2x − 10 opens up or down and whether it has a maximum or minimum point. Up; Minimum Up; Maximum Down; Minimum Down; Maximum 6. [9.01] Determine whether the graph of y = x2 + 4x − 7 has a maximum or minimum point, then find the maximum or minimum value. Minimum; (-11, -2) Maximum; (-11, -2) Maximum; (-2, -11) Minimum; (-2, -11) 7. [9.02] What are the x-intercept(s) of the graph of y − 8 = x2 − 6x? (−2, 0) and (4, 0) (2, 0) and (−4, 0) (2, 0) and (4, 0) (−2, 0) and (−4, 0) 8. [9.02] What are the solutions of 4x2 = −20x? x = 0, x = 5 x = 0, x = −5 x = 4, x = 5 x = 4, x = −5 9. [9.02] Where does the graph of y = 2x2 + 5x − 3 cross the x-axis? (−1 over 2, 0) and (3, 0) (1 over 2, 0) and (−3, 0) (3 over 2, 0) and (−1, 0) (−3 over 2, 0) and (1, 0) 10. [9.02] Solve x2 − 4x = 12. x = −3, x = 4 x = 3, x = −4 x = 6, x = −2 x = −6, x = 2 11. [9.02] Identify the solutions of 3x2 − 7x + 4 = 0. x = −1 over 3, x = −4 x = 1 over 3, x = 4 x = −4 over 3, x = −1 x = 4 over 3, x = 1 12. [9.05] How many and of what type are the solutions of a quadratic equation when the value of the radicand is 0? No real solutions Two identical rational solutions Two different rational solutions Two irrational solutions 13. [9.05] Identify the graph of a quadratic equation with two identical rational solutions. u-shaped graph opening up and crossing the axis at approximately (−2.41, 0) and (0.41, 0) u-shaped graph opening up and crossing the axis at (−3, 0) and (1, 0) u-shaped graph opening down and touching the x-axis at (−2, 0) u-shaped graph opening down and not crossing the axis. 14. [9.05] How many and of what type are the solutions to x2 + 7x + 10 = 0? No real solutions Two identical rational solutions Two different rational solutions Two irrational solutions 15. [9.05] What are the exact solutions of x2 − 5x − 1 = 0? x = the quantity of 5 plus or minus the square root of 29 all over 2 x = the quantity of negative 5 plus or minus the square root of 29 all over 2 x = the quantity of 5 plus or minus 2 times the square root of 5 all over 2 x = the quantity of negative 5 plus or minus 2 times the square root of 5 all over 2 16. [9.05] Solve 3x2 + 2x + 7 = 0. Round solutions to the nearest hundredth. x ≈ −1.90 and x ≈ 1.23 x ≈ −1.23 and x ≈ 1.90 x ≈ −0.44 and x ≈ −3.56 No real solutions 17. [9.05] What are the approximate solutions of 3x2 − 3x = 1 rounded to the nearest hundredth? x ≈ −0.79 and x ≈ 3.79 x ≈ −0.26 and x ≈ 1.26 x ≈ −1.26 and x ≈ 0.26 No real solutions 18. [9.06] Tabitha wants to hang a painting in a gallery but the painting and frame must have an area of 58 square feet. The painting is 7 feet wide by 8 feet long. The frame must have an equal width of x on each side. Which quadratic equation represents the area of the painting and frame combined? x2 + 15x − 2 = 0 x2 + 15x + 58 = 0 4x2 + 30x − 2 = 0 4x2 + 30x + 58 = 0 19. [9.06] A firecracker shoots up from a hill 160 feet high with an initial speed of 105 feet per second. Using the formula H(t) = −16t2 + vt + s, determine how long it will take the firecracker to hit the ground. 7.5 seconds 7.8 seconds 8.1 seconds 8.3 seconds 20. [9.06] David kicks a soccer ball off the ground and in the air with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches? 17.9 feet 18.2 feet 18.7 feet 19.1 feet 21. [9.06] Using graphing technology, approximate the solutions of 0.72x2 − 0.18x − 6.3 = 0. x ≈ −2.72 and x ≈ 3.56 x ≈ −2.54 and x ≈ 3.24 x ≈ −2.84 and x ≈ 3.09 x ≈ −2.61 and x ≈ 3.34 22. [9.06] Using graphing technology, approximate where the graph of y = 5x2 − 3x − 9 crosses the x-axis. (1.55, 0) and (−1.15, 0) (1.23, 0) and (−1.26, 0) (1.32, 0) and (−1.01, 0) (1.68, 0) and (−1.08, 0) 23. [9.01] and [9.02] For y = x2 - 4x + 3, Determine if the parabola opens up or down. State if the vertex will be a maximum or minimum. Find the vertex. Find the x-intercepts. Describe the graph of the equation. Show all work and use complete sentences to receive full credit. [9.06] Fill in the missing term so that the quadratic equation has a graph that opens up, with a vertex of (– 2, – 16), and x intercepts at x = -6 and x = 2. (Do not include the negative sign in your answer.) 24. y = x2 + 4x − 25. [9.05] Part 1: Create your own quadratic equation that cannot be solved by factoring, but can be solved using the quadratic formula. Identify the values of a, b, and c, and find the solutions using the quadratic formula. Show all work to receive credit. Part 2: Using complete sentences, explain how you know that the equation from Part 1 cannot be solved by factoring, but can be solved by using the quadratic formula.
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13. u-shaped graph opening up and crossing the axis at approximately (−2.41, 0) and (0.41, 0) u-shaped graph opening up and crossing the axis at (−3, 0) and (1, 0) u-shaped graph opening down and touching the x-axis at (−2, 0) u-shaped graph opening down and not crossing the axis.
well then
Do you not understand any of this?
i need help with my assignment i missed alot of school with being sick.
Um...should do your own test :/
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