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