Transforming a Radical Function
- y = f(x) becomes y = af(b(x - h)) + k
- plug in "b(x - h)" in for x
- multiply "a" at the front, and add "k" to the end
- y = sqrt(x) becomes y = a*sqrt(b(x - h)) + k
- (x, y) becomes ((1/b)x + h, ay + k)
Sketching the Graph of a Transformed Radical Function Example #1
- use the equation to recognize the transformations y = a*sqrt(b(x - h)) + k
- choose multiple points to transform, (x, y) becomes ((1/b)x + h, ay + k)
- plot new points and connect them