Transformers: Functions in disguise
Write a function
Convert to vertex form (Complete the square)
Interesting Intervals
Domain & Range
100
What is the parent function of a quadratic
f(x) = x²
100
Write a quadratic function that is translated 2 units down from the parent function
f(x) = x2 -2
100
f(x) = x2 + 6x + 9
(x + 3)2
100
Write the increasing / decreasing intervals
100
What is the domain of ANY absolute value function?
All real numbers
200
Describe the transformations:
f(x) = x² + 3
Shift up 3 units
200
Write a linear function that has a compression of 1/2 and a translation of 5 units up
f(x) = 1/2x +5
200
f(x) = x2 - 8x - 11
(x - 4)2 + 5
200
Write the increasing / decreasing intervals
200
State the Range:
y ≤ 4
300
Describe the transformation:
f(x) = (x - 7) - 3
Shift right 7 units, and down 3 units
300
Write a quadratic function that has been reflected on the x axis, translated 4 units left and 3 units down
f(x) = -(x + 4)2 -3
300
f(x) = 3x2 + 18x + 30
3(x + 3)2 + 3
300
DAILY DOUBLE! Make your wagers
Choose a representative...
300
State the domain & range
D: all real numbers
R: all real numbers
400
Describe the transformation:
f(x) = -1/3 (x+8)² + 4
1) reflection, 2) compression by 1/3, 3) left by 8 units, 4) right by 4 units
400
Write an absolute value function that has been stretched by a factor of 7/4, translated 22 units up and 132 units right
f(x) = 7/4 |x - 132| + 22
400
f(x) = -2x2 + 8x - 21
-2(x - 2)2 - 13
400
Write the increasing / decreasing intervals
400
State the domain and range
D: all real numbers
R: y ≥ -3
500
Daily double! Make your wagers
Find Waluigi
500
Write and sketch an absolute value function that has been reflected on the x-axis, stretched by a factor of 2, and translated 5 units up
f(x) = -2 |x| + 5
500
1/3x2 + 3x - 7
1/3 (x + 4.5)2 - 13.25
500
Write the increasing / decreasing intervals
500
State the domain & range
x < 3
0 ≤ y ≤ 3; y = -3