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1.) Examine the graph below
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What is the axis of symmetry of the quadratic equation?
B U6C1b x-intercept X-intercept Correct y-intercept c x = 1 D x = -3
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2.) Examine the graph below
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What is the vertex of the equation to the left?
(3, 0) A (-1, 0) B U6C1a Zero Switched x and y values correct (-4, 1) C (1, -4) D
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3.) A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of his dive.
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Which equation represents the axis of symmetry?
B U6C2b CORRECT Maximum value, x = Y = Maximum value, y = y = 3 C y = 23 D
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4.) A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of his dive.
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How far is the diver from the springboard when he is at his maximum height?
8 feet 3 feet C U1C1b Distance when he hits the water Height of the springboard (starting value) CORRECT Maximum height 14 feet B 23 feet D
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5.) Find the axis of symmetry of the equation given below.
C A U1C1a Forgot –b and for 2*a (b/a) Forgot 2a (-b/a) Forgot –b (b/2a) CORRECT! x = 6 x = 3 B D
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6.) Find the vertex of the equation given below.
(0, -36) (4, -36) C A U1C1a Lack understanding of concept Assume if x = 0 for vertex, y = 0 CORRECT! Assume that x = 4 for vertex, then found y (0, 0) (4, 28) B D
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SPR 1 Hadley throws a rock of a 10-foot cliff into a lake below
SPR 1 Hadley throws a rock of a 10-foot cliff into a lake below. The height of a rock is modeled by the equation y = -2x² + 18x where x represents the number of seconds since the rock was released and y represents the number of feet above or below the water’s surface. When is the rock furthest from the water’s surface? ANSWER: 4.5 seconds (the rock is furthest from the water’s surface when it is at the vertex: x = 4.5 seconds, y = 24.5 feet)
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SPR 2 The y-intercept of the equation below is (0, 3)
SPR 2 The y-intercept of the equation below is (0, 3) Calculate the rate of change between the vertex and the y-intercept of this equation. Answer: -2 [Found by calculating the slope of the line between the y-int (0,3) and vertex (2,-1)]
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