General Math Knowledge to Remember

Sum of angles in a triangle (radians)

π

Transformation: f(x+h)

Shift left h units

Transformation: f(x-h)

Shift right h units

Transformation: -f(x)

Reflection over x-axis

Transformation: f(-x)

Reflection across y-axis

Transformation: (a)f(x), a > 1

Vertical stretch

Transformation: (a)f(x), 0 < a < 1

Vertical compression of a

Transformation: f(ax), a > 1

Horizontal compression of 1/a

Transformation: f(ax), 0 < a < 1

Horizontal stretch of 1/a

How to find common difference from two terms

Subtract term further from 1 from term closer to 1, then divide by differences of spaces apart from each other

Example: u1=36 and u5=12, (12-36)/(5-1) → -24/4 → -6

What does an apostrophe in probability indicate? Example: P(B’)

Complements AKA given that B has not occurred

To find the bounds (or limits of integration) for the area between two curves…

You need to look at the X-COORDINATES where the shaded region starts and ends.

When integrating, you must remember to always calculate for….

C constant!

When a number is multiplied outside a fraction, which part of the fraction do you multiply?

JUST THE NUMERATOR