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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 graph of y = x2 is wider than the graph of
y = –3x2 + 1. |
B. |
The graphs have the same vertex. |
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C. |
The graphs have the same axis of symmetry. |
D. |
One graph opens upward, the other opens downward. |
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Hint |
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2. |
The coordinates of the vertex for the graph of y = (x – 1)2 + 2 are ___________. |
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A. |
(1, –2) |
B. |
(–1, –2) |
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C. |
(1, 2) |
D. |
(–1, 2) |
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Hint |
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3. |
The coordinates of the vertex for the graph of y = –(x + 3)2 – 5 are ___________. |
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A. |
(–3, –5) |
B. |
(–3, 0) |
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C. |
(3, –5) |
D. |
(3, 5) |
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Hint |
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4. |
Write an equation of the parabola that is the graph of y = x2 – 4 moved up 3 units. |
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A. |
y = x2 – 7 |
B. |
y = (x – 1)2 + 3 |
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C. |
y = x2 + 7 |
D. |
y = x2 – 1 |
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Hint |
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5. |
The graph of y = -x2 – 2x – 4 has its vertex at (-1, -3). The parabola is shifted so that the new vertex is at (2, 8). What is an equation for this new parabola? |
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A. |
y = -(x + 2) 2 – 8 |
B. |
y = -(x – 1) 2 – 5 |
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C. |
y = -(x – 2) 2 + 8 |
D. |
y = -(x + 1) 2 – 5 |
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Hint |
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