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Module 2 Topic 1 Review

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    Review for Carnegie
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  • Given the following information, would you write the equation in POINT-SLOPE FORM, or SLOPE-INTERCEPT FORM slope: -5, y intercept: 3
    SLOPE-INTERCEPT FORM
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  • Given the following information, would you write the equation in POINT-SLOPE FORM, or SLOPE-INTERCEPT FORM slope: 2/5 and the point (2, -3)
    POINT-SLOPE FORM
  •  5
  • Given the following information, would you write the equation in POINT-SLOPE FORM, or SLOPE-INTERCEPT FORM (2,-3) and (0,5)
    EITHER
  •  5
  • If f(x)=2x+4, and then we transform it by doing f(x)+5, what will the new equation be, and so what is your slope and y-intercept?
    f(x)+5=2x+9. The slope will still be m=2 and the y-intercept b=(0,9)
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  • If f(x)=2x+4, and then we transform it by doing f(x)-3, what will the new equation be, and so what is your slope and y-intercept?
    f(x)-3=2x+1. The slope will still be m=2 and the y-intercept b=(0,1)
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  • If f(x)=2x+4, and then we transform it by doing 2*f(x), what will the new equation be, and so what is your slope and y-intercept?
    2*f(x)=4x+8. The slope will be m=4 and the y-intercept b=(0,8)
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  • If f(x)=2x+4, and then we transform it by doing 1/2*f(x), what will the new equation be, and so what is your slope and y-intercept?
    1/2*f(x)=x+2. The slope will be m=1 and the y-intercept b=(0,2)
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  • Write a linear equation for the graph given.
    y = (-3/2)x + 3
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  • If f(x)=2x+4, and then we transform it by doing 1/4*f(x), describe how the graph will change.
    It will be a vertical dilation, and it will compress the graph. The graph will be "flatter".
  •  10
  • If f(x)=2x+4, and then we transform it by doing 2*f(x), describe how the graph will change.
    It will be a vertical dilation, and it will stretch the graph. The graph will be "steeper".
  •  10
  • If f(x)=2x+4, and then we transform it by doing f(x)+5, describe how the graph will change.
    It is a vertical shift up. The y-intercept will be different,  and the whole graph will be 5 units "higher".
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  • If f(x)=2x+4, and then we transform it by doing f(x)-3, describe how the graph will change.
    It is a vertical shift down. The y-intercept will be different,  and the whole graph will be 3 units "lower".
  •  10
  • Using the graph to determine when f(x)=1 and the value of f(1)
    f(x)=1 when x=-1, and f(1)=3
  •  20
  • Using the graph below, at what time is the water in the tank only 3 feet deep?
    4 PM
  •  10
  • Decide whether the data in each table is linear. If it is, write a linear equation in point-slope form to model it.
    Slope is zero. Points may vary.
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  • Decide whether the data in each table is linear. If it is, write a linear equation in slope-intercept form to model it.
    y=(4/3)x+9
  •  20