1.) Examine the graph below

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Presentation transcript:

1.) Examine the graph below

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

2.) Examine the graph below

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

3.) A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of his dive.

Which equation represents the axis of symmetry? B U6C2b CORRECT Maximum value, x = Y = Maximum value, y = y = 3 C y = 23 D

4.) A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of his dive.

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

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

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

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 - 16 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)

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)]