Question 1031083
Let's look at the graphs of the functions
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8) f(x) = x^(1/2) (red line) and h(x) = -2(x-3)^(1/2) + 4 (green line)
{{{ graph( 300, 200, -1, 20, -5, 5, x^(1/2), -2*((x-3)^(1/2))+4) }}}
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The transformations have moved f(x) 4 units in the positive y direction, 3 units in the positive x direction and -2 flips f(x) upside down and stretches it.
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9) f(x) = x^(1/3) (red line) and h(x) = (1/2)(-x+3)^(1/3)-1 (green line)
{{{ graph( 600, 400, -3, 5, -1, 1, x^(1/3), (1/2)*((-x+3)^(1/3))-1) }}}
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The transformations have moved f(x) 1 unit in the negative y direction, 3 units in the negative x direction, 0 < (1/2) < 1 compresses f(x) and -1 reflects f(x) about the y axis
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