Chapter 5.1

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• Chapter 5.1 5.3
• Quiz Review
• Quizdom Remotes!!!

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(No Transcript)
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Question 2

• Using the graph of f(x) x2 as a guide, describe
  the transformations.
• g(x) (x 6)2 2
• is translated 2 units left and 6 units down.
• is translated 6 units right and 2 units up.
• is translated 6 units left and 2 units down
• is translated 2 units right and 6 units up.

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Question 3

• Using the graph of f(x) x2 as a guide, describe
  the transformations.
• g(x) -8x2
• A reflection across the x-axis and a horizontal
  stretch by a factor of 8.
• A reflection across the x-axis and a vertical
  compression by a factor of 8
• A reflection across the x-axis and a vertical
  stretch by a factor of 8.
• A reflection across the x-axis and a horizontal
  compression by a factor of 8.

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Question 4

• The parent function f(x) x2 is reflected across
  the x-axis, vertically stretched by a factor of
  10, and translated right 10 units to create g.
  Use the description to write the quadratic
  function in vertex form.
• a.
• b.
• c.
• d.

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Question 5

• Identify the axis of symmetry for the graph of
• a.) x -1 b.) y -1
• c.) y 1 d.) x 1

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Question 6
Determine whether the graph opens up or down.
Find the axis of symmetry, the vertex and the
y-intercept. a.) The parabola opens
downward. The axis of symmetry is the line x
-1. The vertex is the point (-1, 14). The
y-intercept is 10. b.) The parabola opens
upward. The axis of symmetry is the line x
-1. The vertex is the point (-1, 14) The
y-intercept 10. c.) The parabola opens
upward. The axis of symmetry is the line x
-1. The vertex is the point (-1, -6). The
y-intercept -5. d.) The parabola opens
downward. The axis of symmetry is the line x
-1. The vertex is the point (-1,
7). The y-intercept is 5.
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Question 7

• Find the minimum or maximum value of
• y x2 2x 6. Then state the domain and
  range of the function.
• a.The maximum value is 1. D all real numbers
  R y y gt -7
• b.The maximum value is 1. D x x gt -7
• R all real numbers
• c.The minimum value is 7. D all real numbers
  R y y gt -7
• d.The minimum value is 7. D x x gt -7
• R all real numbers

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Question 8

• The distance d in meters traveled by a skateboard
  on a ramp is related to the time traveled t in
  seconds. This is modeled by the function
• d(t) 4.9t2 2.3t 5 . What is the maximum
  distance the skateboard can travel, and at what
  time would it achieve this distance?
• a. 4.73 meters at 0.23 seconds
• b. 5.00 meters in 0 seconds
• c. 0.23 meters at 4.73 seconds
• d. 5.00 meters at 0.47 seconds

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Question 9
Which quadratic function does the graph
represent?
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Question 10

• Find the zeros of by using a graph.
• a. 5
• b. 5 and 1
• c. 2 and 9
• d. 5 and 1

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Question 11

• Find the zeros of the function
• f(x) x2 23x 60 by factoring.
• a.) x -20, -3
• b.) x 4, 15
• c.) x -4, -15
• d.) x 20, 3

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Question 12

• A toy rocket is launched from the ground level
  with an initial vertical velocity of 96 ft/s.
  After how many seconds will the rocket hit the
  ground?
• a. 6 seconds
• b. 0 seconds or 6 seconds
• c. 0 seconds
• d. seconds

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Question 13

• Find the roots of the equation
• 30x 45 5x2 by factoring.
• A.) x -9
• B.) x 3
• C.) x 9
• D.) x -3

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Question 14

• Write a quadratic function in standard form with
  zeros 6 and 8.
• a.)
• b.)
• c.)
• d.)

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Question 15

• A quadratic function written in the form ,
• f(x) a(x h)2 k where a, h, and k are
  constants and (h, k) is the vertex
• a. parabola
• b. quadratic function
• c. axis of symmetry
• d. standard form
• e. vertex form

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Question 16

• where a,
  b, and c are real numbers and a is not 0.
• a. parabola
• b. axis of symmetry
• c. standard form
• d. vertex form

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Question 17

• The shape of the graph of a quadratic function
• a. parabola
• b. quadratic function
• c. axis of symmetry
• d. vertex

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Question 18

• The lowest or highest point in a parabola
• a. parabola
• b. axis of symmetry
• c. vertex of a parabola
• d. maximum value

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Question 19

• The line through the vertex of a parabola that
  divides the parabola into two congruent halves
• A. quadratic function
• B. axis of symmetry
• C. vertex of a parabola
• D. maximum value

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Question 20

• The y-value of the vertex when a parabola opens
  upward
• a. minimum value
• b. quadratic function
• c. axis of symmetry
• d. vertex of a parabola
• e. maximum value