Linear Transformations: Tables
Complete a table that represents the transformation from f(x) to g(x).
f(x)=x
g(x)=x+3
(-2,1)
(-1,2)
(0,3)
(1,4)
(2,5)
f(x) = x. Shift two units up.
What is g(x) = x + 2
Solve 2x+6≥10
What is x ≥ 2?
The solution to the system of equations:
y = 3x - 2
y = -x - 2
What is (0, -2)?
The solution to the system
x + y = 2
y = 3
What is (-1,3) ?
Complete a table that represents the transformation from f(x) to g(x).
f(x)=x
g(x)=x-4
(-2,-6)
(-1,-5)
(0,-4)
(1,-3)
(2,-2)
f(x) = x . Shift four units down
What is g(x) = x - 4
the solution to f/2-5<10
What is f < 30?
The solution to the system
y = 6x - 11
-2x - 3y = -7
What is (2,1) ?
The solution to the system
x + 5y = 12
-x +y = 0
What is (2,2) ?
Complete a table that represents the transformation from f(x) to g(x).
f(x)=x
g(x)=2x
(-2,-4)
(-1,-2)
(0,0)
(1,2)
(2,4)
f(x) = 2/5x +6. Shift seven units down
What is g(x) = 2/5x - 1
The solution to the inequality " k + 3.2 ≥ 8"
What is k ≥ 4.8?
By graphing, the solution to the system
y = 3x - 4
y = -3x + 2
What is (1,-1)?
The solution to the system
-4x + 9y = 9
x = 3y - 6
What is (9,5)?
Complete a table that represents the transformation from f(x) to g(x).
f(x)=x
g(x)=-1/2x
(-2,1)
(-1,0.5)
(0,0)
(1,-0.5)
(2,-1)
f(x) = x . Stretched by a factor of -3
What is g(x) = -3x
How do you graph the following y > -x + 8?
Dashed or solid? Shade Above or Below?
Dashed Line, Shade Above
The solution to the system
-10x - 2y = -18
10x - 7y = -18
What is (1,4)?
The solution to the system
-4x - 2y = -12
4x + 8y = -24
What is (6,-6)?
Complete a table that represents the transformation from f(x) to g(x).
f(x)=x
g(x)=2(x+3)
(-2,2)
(-1,4)
(0,6)
(1,8)
(2,10)
f(x) = x . Stretched by a factor of 1/2 and translated 5 units up.
What is g(x) = 1/2x + 5
How do you graph the following: y < 2/3 x - 4?
Dashed or Solid Line? Shade Above or Below? Is (1,1) a solution?
Dashed Line, Shade Below, No not a solution
By graphing, the solution to the system
y = -(3/2)x - 4
y = (1/2)x + 4
What is (-4,2) ?
By graphing, the solution to the system
y = (5/4)x - 2
y = (5/4)x -1
What is no solution?