Parent Functions
Transformations
Linear Functions
Solving Systems
100
Write the parent function for a linear graph.
f(x)=x
100
Translate f(x)= x up three units
x+3
100
Find the slope of the line through (0,5) and (4,9).
1
100
Solve the system: x+y=6 and x-y=2
(4, 2)
200
How do you know if a graph represents an absolute value function?
V-shaped
200
Identify the transformations in
g(x)=2\sqrt(x-3)+1
Right 3, vertical stretch by 2, up 1
200
Write the two forms of linear equations we learned in section 1.3. What are they each called?
y = mx+b
y-y1=m(x-x1)
200
2x + 5y = 3
y= 3x -2
(round to nearest 100th)
(0.76, 0.29)
300
What function has a U shape? I want the name of the function, not its equation
Quadratic Function
300
Stretch f(x)=|x+1|-2 vertically by 4.
4(|x+1|-2)
300
Write the equation of a line with slope -3 and y-intercept 7
y = -3x+7
300
y=x^2 -3x+4
y=x+9
(5,14) (-1, 8)
400
Find f(0),f(4), and f(9) given
f(x)=\sqrt{x},
0, 2, 3
400
Translate f(x)=x2 two units right and one unit down. Then reflect the function in the y axis.
(-x-2)2 -1
400
A car costs $24,000 and it's value depreciates by $1,120 per year. Write the linear function.
y = -1120x+24000
400
−3a − b − 3c = −8
−5a + 3b + 6c = −4
−6a − 4b + c = −20
(2, 2, 0)
500
What is the equation of the inverse (AKA reciprocal) function? Write the equation and graph it.
1/x
500
Perform a reflection in x-axis, then a horizontal shrink by 1/3, and finally move down 5 on f(x) = |x|
-|3x|-5
500
Find the equation of the line that goes through (45, 63) and (50, 60).
Write the equation in slope intercept form.
y=-3/5x+90
500
3a -3b+4c=-23
a+2b-3c = 25
4a -b + c=25
No solution