A Review of Graphing Functions

Cartesian Plane (2,5) (-4,3) (-7,-7) (1,-3)

What is a function? x y y = mx + b y = ax 2 + bx + c f(x) = sin x g(x) = e x f(x) = ln (x+5)

The Vertical Line Test

Linear Functions y = mx + b slopey-intercept y = 2x + 3 y = 3x - 4 y = -(1/2)x

Linear Functions y = 4 x = 2

Quadratic Functions y = ax 2 +bx + c y = x 2

Quadratic Functions y = x 2 - 2x + 1

Quadratic Functions y = x 2 - 2x + 2

y = ax 2 + bx + c + - or y = x 2 y = -x 2

y = ax 2 + bx + c changes width of parabola y = x 2 y = 2x 2 y =.5x 2

y = ax 2 + bx + c moves parabola up or down y = x 2 + 2x + 1 y = x 2 + 2x y = x 2 + 2x - 1

f(x+a) y = x 2 + 2x + 1 y = (x+1) 2 + 2(x+1) + 1

f(x+a) y = x 2 + 2x + 1 y = (x+1) 2 + 2(x+1) + 1

Graph Transformations y = ax 2 + bx + c y = (x+h) 2 + (x+h) + c y = ± x 2

Free Graphing CalculatorGraphing Calculator by Mathlab