SOLUTION: A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final graph. f(x) = sqrt x ; reflect in the y

Algebra ->  Functions -> SOLUTION: A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final graph. f(x) = sqrt x ; reflect in the y      Log On


   

Question 1166612: A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final graph.
f(x) = sqrt x ; reflect in the y axis, shrink vertically by a factor of 1/2 and shift upward 2 units
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Given:
y+=+sqrt%28x%29

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Csqrt%28x%29%29

(1) Reflect in the y-axis: Replace x with -x
y+=+sqrt%28-x%29

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Csqrt%28x%29%2Csqrt%28-x%29%29

(2) Shrink vertically by a factor of 1/2: Multiply y by 1/2
y+=+%281%2F2%29sqrt%28-x%29



(3) shift upward 2 units: Add 2 to y
y+=+%281%2F2%29sqrt%28-x%29%2B2