stretch and shrinks
Post on 22-Feb-2016
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Stretch and Shrinks
8
GOAL
• Understand what happens to a function when it is multiplied by a constant.
Investigate!• Complete the table below, then graph each
function on the same coordinate plane
x f(x) g(x)-2-1012
𝑓 (𝑥 )=𝑥2 g
Notes
• This is called a stretch because the y value increases for each value of x.
Investigate!
x f(x) g(x)-4-2-10124
𝑓 (𝑥 )=|𝑥| g
Notes
• This is called a shrink because the y value decreases for each value of x.
Adding onto our equation
a is called the “vertical stretch/shrink factor”
Note: If then it flipped over x-axis
Remember!
• All parent functions go through the point (1,1).• The value of a tells you the new point it will go
through.• Example: will go through the point (1,3)• Example: will go though the point ()
ExamplesAsk yourself: over 1, up?
• +2
Example: Write an equation
𝑦=𝑎 (𝑥−h )+𝑘
Zoom in
• Fill in the blanks
Homework
• All problems on Stretch/shrink worksheet
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