Transformations
What transformation(s) occurred?
f(x) = |x + 2|
Shift left 2 units
Solve:
|4x| = 24
x = 6 or - 6
Solve:
|6x| < 18
x < 3
x > -3
It costs $6 per cupcake if you buy less than or equal to 3.
It costs $4 per cupcake if you buy greater than 3, but less than or equal to 6.
It costs $2 per cupcake if you buy more than 6.
How much would 5 cupcakes cost?
$20
What transformation(s) occurred?
f(x) = |x| - 6
Shift down 6 units
Solve:
|x + 6| = 9
x = 3 or -15
Solve:
|m - 2| < 8
x < 10
x > - 6
It costs $6 per cupcake if you buy less than or equal to 3.
It costs $4 per cupcake if you buy greater than 3, but less than or equal to 6.
It costs $2 per cupcake if you buy more than 6.
If you had $50, what is the greatest amount of cupcakes you could buy?
25 cupcakes
What transformation(s) occurred?
f(x) = 4|x - 7|
Shift right 7 units
Stretch vertically by 4
Solve:
|x/3| = 6
x = 18 or - 18
Solve:
|x - 2| - 5 < -2
x < 5
x > -1
It costs $6 per cupcake if you buy less than or equal to 3.
It costs $4 per cupcake if you buy greater than 3, but less than or equal to 6.
It costs $2 per cupcake if you buy more than 6.
Would it be cheaper to buy 3 or 4 cupcakes?
4 cupcakes.
What transformation(s) occurred?
f(x) = |0.5x| + 8
Stretch horizontally by 0.5
Shift up by 8
Solve:
|2x + 1| = 25
x = 12 or -13
Solve:
|6 + 9x|< 24
x < 2
x > -10/3
Use the coordinate plane to graph y = |x - 1|.
Check graphs.
What transformation(s) occurred?
f(x) = -|x - 9| + 6
Shift right by 9 units/ shift up 6 units.
Solve:
|x + 5| + 1 = 11
x = 5 or - 15
Solve:
9|x + 8| + 10 < 55
x < - 3
x > -13
Use the coordinate plane to graph y = |x| - 1
Check graphs.