Summary Graphs of Functions
Mathematics In a Nutshell
Line (Linear function)
y = x
y = 2(x-2)+2
y = m(x-a) + b
Vertex: (a,b)
Gradient: m
Parabola (Quadratic function)
y = x^2
y = -x^2
y = -2(x-3)^2+2
y = m(x-a)^2 + b
Vertex : (a,b) move x by a and y by b
Gradient : m
Cubic Function
y = x^3
y = x(x-1)(x-2)
y = x(x-a)(x-b) <--The graph passes by 0, a, and b.
y = x(x^2 - 2)
Square root function
y = √x
y = √-x
y = √x-3 + 2
y =√x-a + b
Move x by a and y by b.
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