Activity 31 Practice; Solving Quadratics by Graphing and Factoring

Instructions

Please go to pages 465-466 and answer the following questions:

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Question 1: Use the graphs to determine the zeros of the quadratic function. (put the word "and" inbetween the zeros if there is more than one)

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Question 2: Use the graphs to determine the zeros of the quadratic function. (put the word "and" inbetween the zeros if there is more than one)

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Question 3: Use the graphs to determine the zeros of the quadratic function. (put the word "and" inbetween the zeros if there is more than one)

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Question 4: Use the graphs to determine the zeros of the quadratic function. (put the word "and" inbetween the zeros if there is more than one)

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Question 5

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Question 6

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Question 7: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

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Question 8: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

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Question 9: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

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Question 10: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

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Question 11: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

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Question 12: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

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Question 13: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

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Question 14 A: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

A. What is the maximum height of the stream of water? ______ feet

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Question 14 B: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

B. At what time does the stream of water reach its maximum height? _______ sec

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Question 14 C: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

C. For how many seconds does the stream of water appear above ground? _______ seconds

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Question 14 D part 1: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

D part 1. Identify a reasonable domain.

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Question 14 D part 2: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

D part 2. Identify a reasonable range

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Question 17: If a quadratic function has zeros at x = − 4 and x = 6, what is the x-coordinate of the vertex?

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Question 18: What is the vertex of the quadratic function

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Write the equation for the axis of symmetry of the graph of the quadratic function

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Question 20 a.:

A. Identify the vertex.

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Question 20 b.:
b. Identify the x-intercept that makes sense in this scenario.

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Question 23:
How high is the cliff from which the diver jumps? __________ meters

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Question 24:
How far from the base of the cliff does the diver hit the water? ________ meters

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Question 25: Which of these functions has a graph with the axis of symmetry x = −2

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Question 26: Lisa correctly graphed a quadratic function and found that its vertex was in Quadrant I. Which function could she have graphed?

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Question 27: Which of these is the equation of the parabola graphed below?

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Question 1: Use the graphs to determine the zeros of the quadratic function. (put the word "and" inbetween the zeros if there is more than one)

Question 2: Use the graphs to determine the zeros of the quadratic function. (put the word "and" inbetween the zeros if there is more than one)

Question 3: Use the graphs to determine the zeros of the quadratic function. (put the word "and" inbetween the zeros if there is more than one)

Question 4: Use the graphs to determine the zeros of the quadratic function. (put the word "and" inbetween the zeros if there is more than one)

Question 5

Question 6

Question 7: Solve by factoring. Put the word "or" inbetween your values if there is more than one.Example: x=____ or x=_____

Question 8: Solve by factoring. Put the word "or" inbetween your values if there is more than one.Example: x=____ or x=_____

Question 9: Solve by factoring. Put the word "or" inbetween your values if there is more than one.Example: x=____ or x=_____

Question 10: Solve by factoring. Put the word "or" inbetween your values if there is more than one.Example: x=____ or x=_____

Question 11: Solve by factoring. Put the word "or" inbetween your values if there is more than one.Example: x=____ or x=_____

Question 12: Solve by factoring. Put the word "or" inbetween your values if there is more than one.Example: x=____ or x=_____

Question 13: Solve by factoring. Put the word "or" inbetween your values if there is more than one.Example: x=____ or x=_____

Question 14 A: A fountain at a city park shoots a stream of water vertically from the ground. The function models the height of the stream of water in feet after x seconds.A. What is the maximum height of the stream of water? ______ feet

Question 14 B: A fountain at a city park shoots a stream of water vertically from the ground. The functionmodels the height of the stream of water in feet after x seconds.B. At what time does the stream of water reach its maximum height? _______ sec

Question 14 C: A fountain at a city park shoots a stream of water vertically from the ground. The functionmodels the height of the stream of water in feet after x seconds.C. For how many seconds does the stream of water appear above ground? _______ seconds

Question 14 D part 1: A fountain at a city park shoots a stream of water vertically from the ground. The function models the height of the stream of water in feet after x seconds.D part 1. Identify a reasonable domain.

Question 14 D part 2: A fountain at a city park shoots a stream of water vertically from the ground. The functionmodels the height of the stream of water in feet after x seconds.D part 2. Identify a reasonable range

Question 17: If a quadratic function has zeros at x = − 4 and x = 6, what is the x-coordinate of the vertex?

Question 18: What is the vertex of the quadratic function

Write the equation for the axis of symmetry of the graph of the quadratic function

Question 20 a.:A. Identify the vertex.

Question 20 b.:b. Identify the x-intercept that makes sense in this scenario.

Question 23:How high is the cliff from which the diver jumps? __________ meters

Question 24:How far from the base of the cliff does the diver hit the water? ________ meters

Question 25: Which of these functions has a graph with the axis of symmetry x = −2

Question 26: Lisa correctly graphed a quadratic function and found that its vertex was in Quadrant I. Which function could she have graphed?

Question 27: Which of these is the equation of the parabola graphed below?

Question 28: DeShawn's textbook shows the graph of the function y = x^2 + x − 6. Which of these is a true statement about the graph?

Question 7: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

Question 8: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

Question 9: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

Question 10: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

Question 11: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

Question 12: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

Question 13: Solve by factoring. Put the word "or" inbetween your values if there is more than one.
Example: x= or x=_

Question 14 A: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

A. What is the maximum height of the stream of water? ______ feet

Question 14 B: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

B. At what time does the stream of water reach its maximum height? _______ sec

Question 14 C: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

C. For how many seconds does the stream of water appear above ground? _______ seconds

Question 14 D part 1: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

D part 1. Identify a reasonable domain.

Question 14 D part 2: A fountain at a city park shoots a stream of water vertically from the ground. The function
models the height of the stream of water in feet after x seconds.

D part 2. Identify a reasonable range

Question 20 a.:

A. Identify the vertex.

Question 20 b.:
b. Identify the x-intercept that makes sense in this scenario.

Question 23:
How high is the cliff from which the diver jumps? __________ meters

Question 24:
How far from the base of the cliff does the diver hit the water? ________ meters