Math Tutoring on Graphing the Square Root Function with Transformations
Square root parent function is the simplest form of the square root function, or f(x) = √x.
Vertical Translation Horizontal Translation
y = √x + d y = √x - c
d > 0: shifts up IdI units c > 0: shifts to the right IcI units
d < 0: shifts down IdI units c < 0: shifts to the left IcI units
Vertical Stretch and Compression Horizontal Stretch and Compression
y = a√x y = √bx
IaI < 1: vertical compression (shrink) IbI < 1: horizontal stretch
a < 0: reflection in x-axis b < 0: reflection in y-axis
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1. How do you move a function to the right?
2. What is a square root transformation?
3. What is the equation for a radical function?
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