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Vertical Stretch & Shrink September 15, 2014 
Lesson 3 - 
More Transformations of the Square Root Function 
y = x2 y = x 
Inverses 
Parent Function & its Graph 
y = x 
Puullll 
x y 
0 
0 
1 
1 
4 
2 
9 
3 
16 
4 
T 
A 
B 
L 
E
Vertical Stretch & Shrink September 15, 2014 
Match the equation with its graph: 
Explain how you decided to match the equation with 
the appropriate graph 
y=3 x 
y= 1 x 
2 
y = x y = x
Vertical Stretch & Shrink September 15, 2014 
use as many as you need GRAPH THE PARENT FUNCTION FIRST! 
1. 
use as many as you need GRAPH THE PARENT FUNCTION FIRST! 
2.
Vertical Stretch & Shrink September 15, 2014 
What happens when there is a negative (or opposite) 
sign in front of the square root? 
y = x 
y = - x 
Match each description with an equation, then match to the graph 
Horizontal shift Right 
Horizontal Shift Left 
Vertical Shift Up 
Vertical Shift Down 
Skinnier/Narrower 
Wider/Flatter 
y = 1 
4 
x y = x +3 
y = x -1 
y = x-1 
y = x+3 
y = 5 x
Vertical Stretch & Shrink September 15, 2014 
In your group, fold your paper into 4 sections. 
Person 1 - Draw an x and y axis 
Person 2 - Draw the square root parent function 
Person 3 - Draw the transformed graph you were 
given 
In the top right section: 
Person 4 - Describe the transformation 
In the bottom left section: 
Person 1 and 2 - write the Domain 
In the bottom right section 
Person 3 and 4 - write the Range 
In the top left section:

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Vertical stretch & shrink

  • 1. Vertical Stretch & Shrink September 15, 2014 Lesson 3 - More Transformations of the Square Root Function y = x2 y = x Inverses Parent Function & its Graph y = x Puullll x y 0 0 1 1 4 2 9 3 16 4 T A B L E
  • 2. Vertical Stretch & Shrink September 15, 2014 Match the equation with its graph: Explain how you decided to match the equation with the appropriate graph y=3 x y= 1 x 2 y = x y = x
  • 3. Vertical Stretch & Shrink September 15, 2014 use as many as you need GRAPH THE PARENT FUNCTION FIRST! 1. use as many as you need GRAPH THE PARENT FUNCTION FIRST! 2.
  • 4. Vertical Stretch & Shrink September 15, 2014 What happens when there is a negative (or opposite) sign in front of the square root? y = x y = - x Match each description with an equation, then match to the graph Horizontal shift Right Horizontal Shift Left Vertical Shift Up Vertical Shift Down Skinnier/Narrower Wider/Flatter y = 1 4 x y = x +3 y = x -1 y = x-1 y = x+3 y = 5 x
  • 5. Vertical Stretch & Shrink September 15, 2014 In your group, fold your paper into 4 sections. Person 1 - Draw an x and y axis Person 2 - Draw the square root parent function Person 3 - Draw the transformed graph you were given In the top right section: Person 4 - Describe the transformation In the bottom left section: Person 1 and 2 - write the Domain In the bottom right section Person 3 and 4 - write the Range In the top left section: