Transformations of Linear & Absolute Value Functions
Modeling with Linear Functions
Solving Linear Systems
Wild Card!
100
Graph the function and it's parent function. The describe the transformation.
f(x)=x+3
What is Linear function, moved 3 units up.
100
Write a function g whose graph represents the following transformation of the graph f.
f(x)=abs(x) - 4 units to the left
What is g(x)=abs(x+4)
100
Write an equation of a line that crosses the following points in point-slope form.
(3,12) (5,16)
What is y-12=2(x-3)
100
Solve the system.
x+y+z=3
-x+3y+2z=-8
x=4z
What is (4, -2, 1)
100
What is the parent function of the following equation?
g(x)=-2(x-5)^2 +4
What is quadratic function
200
Graph the function and it's parent function. The describe the transformation.
g(x)= abs(x) -1
What is absolute value, moved one unit down
200
Write a function g whose graph represents the following transformation of the graph f.
f(x)=abs(x) - reflection over the y-axis
What is g(x)=abs(-x)
200
Write an equation of a line that crosses the following points in point-slope form.
(5,19)
(9,10)
What is y-10=-9/5(x-9)
200
Solve the system.
x+y+z=2
2x-3y+z=11
-3x+2y-2z+=-13
What is infinite solutions
200
Graph the function and it's parent function. The describe the transformation.
f(x)=-2(x+4)
What is linear function, reflection over the x-axis, vertical stretch by factor of 2, 4 units to the left.
300
Graph the function and it's parent function. The describe the transformation.
h(x)=1/2 x^2
What is quadratic function, vertical shrink by a factor of 1/2
300
Write a function g whose graph represents the following transformation of the graph f.
f(x)=x - to the left one, reflection over the x-axis
What is g(x)=-(x+1)
300
Write an equation of a line that crosses the following points in slope-intercept form.
(9,0)
(2,5)
What is y=(-5/7)x+(45/7)
300
Solve the system.
x+4y-2z=3
x+3y+7z=1
2x+9y-13z=2
What is no solution
300
Write a function g whose graph represents the following transformation of the graph f.
f(x)=x-4 -reflection over the x-axis, move up 2 and vertical shrink by a factor of 1/2
What is g(x)= -1/2x-2
400
Graph the function and it's parent function. The describe the transformation.
f(x)=- abs(x) - 3
What is absolute value function, reflection of the x axis, moved down 3 units
400
Write a function g whose graph represents the following transformation of the graph f.
f(x)=abs(x) - vertical shrink by a factor of 1/2 followed by a translation 2 units up.
What is g(x)=1/2 abs(x) +2
400
Write an equation of the line. Use a calculator.
(0, 1.24) (2, 1.26) (4, 1.39) (6,1.47) (8, 1.49) (10, 1.57)
What is y=-0.03x+1.23
400
Solve the system.
x-y+3z=6
x-2y=5
2x-2y+5z=9
What is (-11, -8, 3)
400
Write an equation for the data.
(0, 36,208) (1, 37,620) (2, 39,088) (3, 40,594)
What is y=1462.60x + 36,183.60
500
Graph the function and it's parent function. The describe the transformation.
g(x)=-3(x+3)^2
What is quadratic function, reflection of the x axis, moved to the right 3, vertical stretch by a factor of 3.
500
Write a function g whose graph represents the following transformation of the graph f.
f(x)=x - reflection over the x-axis, vertical stretch by a factor of 2, move up 2
What is g(x)= -2x+2
500
You ride your bike and measure how far you travel. After 10 minutes, you travel 3.5 miles. After 30 minutes you travel 10.5 miles. Write an equation to model your distance. How far will you ride after 45 minutes?
You can use a calculator.
What is y=0.35x ; 15.75 miles
500
Solve the system.
x+2z=4
x+y+z=6
3x+3y+4z=28
What is (-16, 12, 10)
500
Solve the system.
2x-5y-z=17
x+y+3z=19
-4x+6y+z=-20