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High School Algebra Notes 2.4 DAY 2 Transformations Graph the following equations on a graphing calculator and sketch them below. Compare them to the parent graphs. y=x2 y=x2 y=2 x 2 y=x 2 2 What do you notice every time you subtract on the outside of the parent function? Graph the following equations on a graphing calculator and sketch them below. Compare them to the parent graphs. y=| x +4 | y=x+4 y= 1 x+4 y=( x +4 ) 3 What do you notice every time you add to the x inside the function? Graph the following equations on a graphing calculator and sketch them below. Compare them to the parent graphs.

Algebra 2 - Web view05.01.2015 · High School Algebra. Notes 2.4. DAY 2. Transformations. Graph the following equations on a graphing calculator and sketch them below. Compare

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Page 1: Algebra 2 - Web view05.01.2015 · High School Algebra. Notes 2.4. DAY 2. Transformations. Graph the following equations on a graphing calculator and sketch them below. Compare

High School Algebra Notes 2.4 DAY 2 Transformations

Graph the following equations on a graphing calculator and sketch them below. Compare them to the parent graphs.

y=√x−2 y=x−2 y=2x−2 y=x2−2

What do you notice every time you subtract on the outside of the parent function?

Graph the following equations on a graphing calculator and sketch them below. Compare them to the parent graphs.

y=|x+4| y=√x+4 y= 1

x+4 y=( x+4 )3

What do you notice every time you add to the x inside the function?

Graph the following equations on a graphing calculator and sketch them below. Compare them to the parent graphs.

y=1

2|x|

y=1

2x2

y=1

2x

y=1

2( x )3

What do you notice every time you multiply the function by a number?

Page 2: Algebra 2 - Web view05.01.2015 · High School Algebra. Notes 2.4. DAY 2. Transformations. Graph the following equations on a graphing calculator and sketch them below. Compare

Graph the following equations on a graphing calculator and sketch them below. Compare them to the parent graphs.

y=−|x| y=−x2 y=−x y=−x3

What do you notice every time you multiply the function by a negative sign?

Write the new equation given the transformations.1. Up 2, Flipped 2. Right 1, Squeeze by 3

Linear ______________ Quadratic ______________

3. Down 7, Left 5, Stretch by

14 4. Up 6, Right 2, Squeeze by 5, Flip

Absolute Value _______________ Cubic ___________________

How do a, h, and k each affect the graph of y=√x in y=±a√( x±h )±k ?

a: Bigger than 1:

Less than 1:

Negative:

h: Positive (Add):

Negative (Subtract):

k: Positive (Add):

Negative (Subtract):

These transformations will occur no matter which parent function you are looking at!!