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Math Help - Parabola

  1. #1
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    Parabola

    Where is the point (3,-1) translated to after a vertical stretch of 4, a reflection in the x-axis and a horizontal shirt left by 2?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by iorga View Post
    Where is the point (3,-1) translated to after a vertical stretch of 4, a reflection in the x-axis and a horizontal shirt left by 2?
    start with (3,-1)

    if we make a vertical shift, we are changing the y-value. making a shift of +4 is moving up 4 units, so our point becomes:

    (3, -1 + 4) = (3 , 3)

    now, reflecting in the x-axis is a vertical shift. it's shifting down twice the amount of units we are above the x-axis. you can play around with a graph to see this

    so for reflection in the x-axis, we change the y-value to negative, so our point becomes

    (3, -3)

    a horizontal shift is changing the x-value. changing by 2 is adding or subtracting 2 from the x-value. if you shift to the right, you add, if you shift to the left you subtract. shifting 2 units, i will assume it's to the right

    so our point becomes

    (3 + 2, - 3) = (5,-3)
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    ...shifting 2 units, i will assume it's to the right

    so our point becomes ...
    Hello,

    I don't want to pick at you but the problem reads "...and a horizontal shirt left by 2"

    So the point becomes:
    (3 - 2, - 3) = (1,-3)
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by earboth View Post
    Hello,

    I don't want to pick at you but the problem reads "...and a horizontal shirt left by 2"

    So the point becomes:
    (3 - 2, - 3) = (1,-3)
    yeah, i didn't see that for some reason. thanks!
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