カテゴリー 全て - vertex - symmetry - roots - factors

によって Rachel Yang 3年前.

175

Applying Quadratic Models

Quadratic functions can be expressed in different forms, each highlighting unique characteristics of the parabola they describe. The standard form, \( f(x) = ax^2 + bx + c \), emphasizes the y-intercept and the shape dictated by the coefficient \

Applying Quadratic Models

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