## Tutoring on Graphing the Square Root Function with Transformations

Learning Objectives:

#### Understand to Graph Square Root Function with Transformations.

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 stretch                                IbI > 1:horizontal compression(shrink)

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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Hook Questions:

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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