SOLUTION: The graph of {{{y=sqrt(x)}}} is stretched horizontally by a factor of 2, reflected across the x-axis, and translated vertically upward by 3 units. a) Determine the equation that

Algebra ->  Functions -> SOLUTION: The graph of {{{y=sqrt(x)}}} is stretched horizontally by a factor of 2, reflected across the x-axis, and translated vertically upward by 3 units. a) Determine the equation that      Log On


   

Question 1203720: The graph of y=sqrt%28x%29 is stretched horizontally by a factor of 2, reflected across the x-axis, and translated vertically upward by 3 units.
a) Determine the equation that results from these transformations.
b) Graph the Function. please include the image of key points under transformations.
Gyazo (or another tool) would work to capture the graph as an image and share as a link. Thank you!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The graph of y=sqrt(x) is stretched horizontally by a factor of 2, reflected across the x-axis, and translated vertically upward by 3 units.
y=sqrt%28x%29
horizontal stretch: y=sqrt%28bx%29 if abs%28b%29%3C1
if horizontally stretched by a factor of 2,b=1%2F2

y=sqrt%28%281%2F2%29x%29
reflected across the x-axis: Reflextion about the x-axis is f%28x%29+-%3E+-f%28x%29
y=-sqrt%28%281%2F2%29x%29
translated vertically upward by 3 units
y=-sqrt%28%281%2F2%29x%29%2B3