Parent Functions
Line of Best Fit
Transformations
Solving Systems of Linear Equations
100
What is the equation for a linear function?
y=x
100
What two pieces of information do we need to make an equation of a linear line?
Slope and at least one point
100
y= al x - h l +k
What transformation does the k do to the function?
shifts up or down however many units
100
How have we been solving systems of linear equations with three variables?
Substitution, Elimination, or Graphing?
Elimination
200
What is the equation for a quadratic function?y= x^2
y= x^2
200
Given two points, what is the formula to find the slope?
200
y= al x - h l +k
What transformation does the h do to the function?
shifts to the right or left however many units
200
What is the first step in solving a system of three variables?
Find which variable to first eliminate
300
What is the equation for a cubic function?
y= x^3
300
What two linear equations did we learn?
Slope intercept form: y= mx + b
&
Point slope form: (y-y1) = m(x-x1)
300
y= al x - h l +k
What transformation does the a do to the function?
stretch or shrink
300
Solve the system:
x + y - 2z = 5
-x + 2y + z = 2
2x + 3y - z = 9
(1, 2, -1)
400
What is the equation for absolute value?
y= lxl
400
How do we find the "Line of Best Fit"?
1. Plot your points
2.pick two points (one towards the beginning and one towards the end) and use the slope formula to find slope
3. Use the slope and one of your points, and put it into point slope form
4. Solve for y.
400
y= al x - h l +k
If a is negative, what transformation does it do to the function?
reflection
400
Solve the system:
x + 4y - 6z = -1
2x - y + 2z = -7
-x + 2y - 4z = 5
(-3, -1, -1)