Quadratic Functions and Their Forms

Front

Vertex Form of a Quadratic Function

Back

f(x) = a(x-h)² + k

Front

Purpose of Vertex Form

Back

Helpful for finding the vertex

Front

Standard Form of a Quadratic Function

Back

f(x) = ax² + bx + c

Front

Purpose of Standard Form

Back

Helpful for finding the y-intercept (0, c)

Front

Finding the Vertex in Standard Form

Back

x = -b/2a; to find y, plug in x

Front

Factored Form of a Quadratic Function

Back

f(x) = a(x-r₁)(x-r₂)

Front

Purpose of Factored Form

Back

Helpful for finding the x-intercepts

Front

Finding the X-Intercepts in Factored Form

Back

Set each factor equal to zero and solve for x

Front

Finding the Vertex in Factored Form

Back

x = (root + root) / 2; plug in x to find y

Front

Line of Symmetry from
Vertex Form

(aka axis of symmetry)

Back

x -= h