1.02 - Algebra and Functions Flashcards
What does a^m * a^n equal?
a^(m+n)
What does a^m / a^n equal?
a^(m-n)
What does (a^m)^n equal?
a^(mn)
What does a^0 equal?
1
What does a^-n equal?
1 / a^n
What does a ^(m/n) equal?
root n (a^m)
How do you rationalise the denominator?
Multiply top and bottom by the appropriate expression to create a difference of two squares
What is the quadratic formula?
(-b +- root(b^2 - 4ac)) / 2a
What does the x part represent in a quadratic graph?
It represents whether the graph moves left or right.
What is the turning point of the quadratic y = (x+p)^2 + q?
(-p, q)
What is a polynomial?
A function made up of a sum of terms containing non-negative integer powers of an unknown.
How can you show a line is a tangent to a curve?
Substitute into the equation and work out the discriminant
What is a transformation of f(x) + c ?
Translation c units up
What is a transformation of f(x+d) ?
Translation d units to the left
What is a transformation of pf(x) ?
Vertical stretch, scale factor p
