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1. |
Suppose you have the graph of y = x2 and the graph of y = –3x2 + 1. Which statement is not true about the graphs? |
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A. |
The graphs have the same axis of symmetry. |
B. |
The graphs have the same vertex. |
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C. |
The graph of y = x2 is wider than the graph of
y = –3x2 + 1. |
D. |
One graph opens upward, the other opens downward. |
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Hint |
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2. |
The graph of y = 2x2 has its vertex at (0, 0). The parabola is shifted so that the new vertex is at (–2, 3). What is an equation for this new parabola? |
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A. |
y = 2(x – 2)2 – 3 |
B. |
y = 2(x + 2)2 – 3 |
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C. |
y = 2(x – 2)2 + 3 |
D. |
y = 2(x + 2)2 + 3 |
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Hint |
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3. |
The Quadratic Formula is developed by __________ a general form of a quadratic equation. |
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A. |
completing the square for |
B. |
graphing |
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C. |
factoring |
D. |
finding the vertex of |
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Hint |
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4. |
The lowest point of a quadratic function is called the ________. |
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A. |
peak |
B. |
valley |
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C. |
minimum |
D. |
maximum |
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Hint |
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5. |
Refer to the drawing. Lorenzo is throwing the baseball to his friend Jennifer. The equation to represent the height in feet of the baseball compared to the distance in feet it has traveled is h(d) =  . To the nearest hundredth of a meter, find the maximum height of the baseball. |
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A. |
12 ft |
B. |
17 ft |
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C. |
 ft |
D. |
4 ft |
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Hint |
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6. |
The roots of the quadratic equation x2 – 6x – 16 are __________. |
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A. |
-2 and 8 |
B. |
6 and 16 |
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C. |
-6 and -16 |
D. |
2 and –8 |
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Hint |
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7. |
Find two numbers whose sum is 15 and whose product is 36. |
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A. |
4 and 8 |
B. |
5 and 10 |
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C. |
3 and 12 |
D. |
6 and 9 |
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Hint |
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8. |
Solve 6x2 – 5x + 1. |
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A. |
x = 2, x = 3 |
B. |
x =  , x =  |
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C. |
x =  , x =  |
D. |
x = -2, x = -3 |
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Hint |
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9. |
Solitaire is making a triangular painting with an area of 176 square inches. If the height of the triangle is one inch less than three times the base, what are the height and base of the triangle? |
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A. |
base: 14 in.
height: 41 in. |
B. |
base: 32 in.
height: 11 in. |
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C. |
base: 41 in.
height: 14 in. |
D. |
base: 11 in.
height: 32 in. |
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Hint |
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10. |
Solve x2 – 4x – 32 = 0 by completing the square. |
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A. |
x = -6, x = 3 |
B. |
x = 8, x = -4 |
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C. |
x = -8, x= 4 |
D. |
x = 6, x = -3 |
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Hint |
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11. |
Solve x2 – 10x + 21 = 0 by completing the square. |
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A. |
x= -7, x= -3 |
B. |
x = 7, x = 3 |
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C. |
x = 4, x= 2 |
D. |
x = -4, x = -2 |
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Hint |
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12. |
Use the quadratic formula to solve the equation 4x2 + 3x + 3 = 0. |
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A. |
x  -0.569, x -1.319 |
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B. |
no solution |
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C. |
x -0.569, x 1.319 |
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D. |
x 0.569, x -1.319 |
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Hint |
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13. |
If a piece of paper is folded in half four times, how many sections are formed? |
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A. |
12 |
B. |
16 |
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C. |
32 |
D. |
8 |
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Hint |
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14. |
Which is the graph of y = 3x – 4? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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