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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=√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?
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!!