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Find the function that is finally graphed after the following transformations are applied to the graph of y=square root(X) in the order listed.

a. reflect about the x-axis
b. shifts up 3 units
c. shift right 2 units

thanks!

2007-04-06 15:07:26 · 4 answers · asked by Jenny B 1 in Science & Mathematics Mathematics

4 answers

a. negative in front
b. add three
c. subtract two


y = -(sqrt(x-2))+3

2007-04-06 15:11:19 · answer #1 · answered by MathMark 3 · 0 0

y = √(x)

a) Reflected about the x-axis: multiply it by (-1).

y = (-1)√(x)

b) Shifted up 3 units: add 3 outside of the function

y = (-1)√(x) + 3

c) Shifted right 2 units. Subtract 2 *inside* the function.

y = (-1)√(x - 2) + 3

2007-04-06 22:11:40 · answer #2 · answered by Puggy 7 · 0 0

(y-3)^2= x-2, x+<2

2007-04-06 22:23:02 · answer #3 · answered by cattbarf 7 · 0 0

(-squareroot(x-2))+3

2007-04-06 22:11:30 · answer #4 · answered by retlin17 2 · 0 0

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