✅ PreAssessment Quadratic Unit  Multiple Choice (35 Questions)
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1. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
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2. Which of the quadratic functions has the narrowest graph?
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3. If an object is dropped from a height of 39 feet, the function h(t) = −16t² + 39 gives the height of the object after t seconds. Graph the function.
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4. Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y = 4x² + 5x− 1
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5. Graph f(x) = 2x² + 2x− 2. Label the axis of symmetry and vertex.
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6. Suppose you have 56 feet of fencing to enclose a rectangular dog pen. The function A = 28x− x², where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the NEAREST TENTH as necessary.
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7. A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function h = −16t²+ 48t + 8. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
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8. Solve x² + 2 = 6 by graphing the related function.
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Solve the following equations using square roots.
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11. Solve (x − 8)(4x + 2) = 0 using the Zero Product Property.
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Solve the following equations by factoring.
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15. The expression ax² − bx = 0 ________ has the solution x = 0.
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Solve the following equations by completing the square.
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Use the Quadratic Formula to solve the following equations.
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20. A rocket is launched from atop a 56foot cliff with an initial velocity of 135 ft/s.Substitute the values into the vertical motion formula h = −16t² + vt + c. Let h = 0. Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
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21. For which discriminant is the graph possible?
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Find the number of real solutions for the following equations.
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Use the following functions to answer the next set of questions: f(x) = 3x − 2, g(x) = 3x² + 2x − 1, h(x) = 4x + 8 and k(x) = 2x² − x− 9
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28. Find the inverse of the function: f(x) = x² − 4. Is the inverse a function?
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29. Find the inverse of the function. State the domain and range of the inverse.
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30. What transformation of the parent function, f(x) = x², is the function f(x) = −(x+2)²?
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31. Write a function that represents the parent function, y = x², after it has been translated 3 up and 2 right.
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32. What function models the graph below?
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33. What function models the graph below?
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34. Convert the following equation to vertex form, identify the vertex and the graph.
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35. Convert the following equation to factored form, identify the xintercepts and the graph.
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