Applying Quadratic Models

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f(x)=a(x-r)(x-s)

roots (x intercepts) x=r and x=s

axis of symmetry = (r+s)/2

vertex= ( (r+s)/2 , y )

Applying Quadratic Models

f(x)=a(x-h)^2+k

EXPAND

f(x)=ax^2+bx+c

c is the "y intercept"

the vertex is always (h,k)

"K"

the parabola moves "k" units up or down

"h"

value of "h" is the axis of symmetry

the parabola moves "h" units left or right.

"h" is negative, parabola moves rigt

"h" is positive, parabola moves left

Changing Standard Form to Vertex Form

COMPLETING THE SQUARE

Subtopic

"a" in standard, factored and vertex form