2.6 Linear Transformations
f(x) = 3x-3, translate it down 2 units
What is g(x) = 3x-5?
Solve |x+7| = 2
What is x = -9 or x = -5?
Solve |-2x| < 2
What is -1 < x < 1?
Translate f(x) = |x| 5 units down.
What is g(x) = |x| − 5?
A data set has a correlation coefficient of r = 0.92. Describe the correlation in terms of both its direction and its strength.
What is a strong positive linear correlation?
f(x) = 4x+1, translate left 3 units
What is g(x) = 4x+13?
Solve |-3x| = 9
What is x = -3 or x = 3?
Solve |8x| + 56 ≥ 40
What is all real numbers?
Reflect f(x) = |x-5|+2 across the x-axis
What is g(x) = −|x − 5|-2?
Solve 4|2x − 5| + 3 = 27
What is x = 11/2 or x = −1/2 ?
reflection of f(x) = 2x+6 across the x-axis
What is g(x) = -2x-6?
5|2x|-6 = 24
What is x = 3 or x = -3?
Solve 6|2x+5| > 66
What is x > 3 or x < -8?
What is the vertex of the function g(x) = |x-12| + 8?
What is (12, 8)?
Solve 5 − 2|x + 4| ≥ −7
What is −10 ≤ x ≤ 2?
the vertical stretch of f(x) = x-7 by 7 units.
What is g(x) = 7x-49?
Solve 8|3x-10|-12 = 20
What is x = 14/3 or x = 2?
Solve |9-3x| ≤ 6
What is 1 ≤ x ≤ 5?
Compress f(x) = |x|-3 vertically by a factor of 1/4
What is g(x) = 1/4|x| − 3/4?
The graph of f(x) = 3x − 2 is transformed into g(x) by these steps, in this order:
What is g(x) = −6x + 15?
The horizontal stretch of f(x) = 2x + 16 by a factor of 4
What is g(x) = 1/2x + 16?
Solve 5|2( x+3/2)|-7 = 28
What is x = -5 or x = 2?
Solve -2|3x-5|+11 ≥ 7
What is -4/3 ≤ x ≤ 14/3 ?
Stretch f(x) = |x + 3| horizontally by a factor of 3/2.
What is g(x) = |2/3 x + 3|?
The graph of f(x) = |x| is transformed into g(x) by these steps, in this order:
What is g(x) = −2|x − 3| − 5?