Standard Form
Slope-Intercept Form
Transformations
Ch. 3.1-3.3 Rev
100
Find the x- and y-intercept of the linear equation.
2x + 3y = 6
y-int -> (0, 2)
x-int -> (3, 0)
100
What is slope intercept form?
y = mx + b
100
Describe the transformation from the graph of f to the graph of g.
f(x) = 2x +1
g(x) = f(x) +3
Up 3 units
100
Does the graph represent a function? Explain.
No,
Fails vertical line test, input (2) is paired with more than one output (2 & 4)
200
Find the x- and y-intercept of the linear equation.
2x = 8
x-int = (4, 0)
There is no y-intercept, vertical line through x = 4
200
Find the slope of the line that goes through the points
(2, 1) and (3, 1)
slope = 0
200
Describe the transformation from the graph of f to the graph of g.
f(x) = 2x +1
g(x) = f(x + 2)
Left 2 units
200
What is the domain of the function represented by the graph.
-3 <= x <= 2
300
Find the x- and y-intercept of the linear equation.
6x + 4y = 10
x-int = (5/3, 0)
y-int = (0, 5/2)
300
What is the slope of the equation
2x + 3y = 6
m = 2/3
300
Describe the transformation from the graph of f to the graph of g.
f(x) = 2x +1
g(x) = f(2x)
Horizontal Shrink
300
Estimate the intercepts of the graph of the function.
x- int -> -3 & -1
y-int -> -3
400
Describe how to find the x-intercept when your linear equation is in standard form. (without graphing)
plug zero in for y and solve for x.
400
What is the y-intercept of the linear equation.
3x - y = 6
b = -6
400
Describe the transformation from the graph of f to the graph of g.
f(x) = 2x +1
g(x) = f(-x) + 4
Reflect y-axis
Up 4 units
400
Evaluate f(x) = 2x + 5 when f(x) = -3
x = -4
500
Graph using the x- and y-intercepts
3x - y = 6
x- int = (2, 0)
y-int = (0, -6)
500
Graph the linear equation using the slope and y-intercept
y = 5x - 2
plot y-int at (0,2) then count the slope up 5 right 1 to plot second point. (or down 5 left 1)
500
Describe the transformation from the graph of f to the graph of g.
f(x) = 2x +1
g(x) = -f(x+1)-5
Right 1 unit
Reflect x-axis
down 5 units
500
Evaluate f(x) = 2x + 5 when x = -3
f(x) = -1