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f(x) = c


f(x) = x


f(x) = x^2


f(x) = x^3

Square root

f(x) = √x

Slope-intercept form

y = mx + b

Vertical line

x = a

Horizontal line

y = b

Slope formula

m = y1 - y2/x1 - x2

Point-slope form

y-y1 = m(x - x1)

Matrix equations

Ax = B
x = A^-1B

Vertex form

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

Axis of symmetry (Vertex form)

x = h

Vertex (Vertex form)

(h, k)

Standard form

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

Axis of symmetry (Standard form)

x = -b/2a

Vertex (Standard form)

(-b/2a, f(-b/2a))


y = c

Difference of two squares

a^2 - b^2 = (a + b)(a - b)

Perfect-square trinomial

a^2 - 2ab + b^2 = (a - b)^2
a^2 + 2ab +b^2 = (a + b)^2

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