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Unit 1 Linear and Quadratic models (g=gravity t=time h=height…
Unit 1 Linear and Quadratic models
Standard form: ax+by+c
How to solve simultaneous equations
Slope-intercept Form: y=mx+b
Point-slope Form: y-y1=m(x-x1)
Parallel: 2 lines with the same slope but different y-intercepts.
Perpendicular: Opposite- reciprocal slope. creates 90 degree angle
Zero: Straight horizontal line
Undefined: Vertical line
Types of Linear equations
Types of Slopes
Substitution
Elimination
Graphing
Matricies
Distance Formula: Square root of (x2-x1)squared + (y2-y1)squared
Midpoint Formula: (x2+x1)/2 + (y2+y1)/2
Formulas
Terms
Slope= Rate of change
Y-Intercept: Initial amount (x=0)
Points: Coordinates that satisfy the equation
Types of Quadratic equations
standard form: y=ax(squared)+bx+c
Vertex from: y=a(x-h)(squared)+k
Parabola Points
LOS= -b/2a
Vertex: (-b/2a,y)
x-intercepts: -b +/- (square root of: b(squared)-4ac)/2a
g=gravity t=time h=height
Dropping/falling object:-0.5gt(squared)+h
g=gravity t=time v=initial velocity h=height
Thrown object: -0.5gt(squared)+vt+h
Dropping object: