The square (x^2) makes it quadratic. Reference graphing quadratic equations tutorial

- The visual shape is known as a parabola

This example simply adds 10 to the y axis. *f(x) = x^2 + 10*

- Notice where the plot bottom is

This example takes away 10 to the y axis. *f(x) = x^2 - 10*

- Note the bottom is below 0 (-10 below)

This example subtracts 10 inside the parenthesis *f(x) = (x-10)^2*

- Notice the negative 10 equates to plus 10 on the x axis

This example adds 10 inside the parenthesis *f(x) = (x+10)^2*

- Notice the negative 10 equates to plus 10 on the x axis

Adding a negative **outside** the parens flips it. Everything else stays the same

Remember the very first example. Adding a negative **outside** the parens flips it. Everything else stays the same

A negative value inside the parens doesn't flip the parabola, but it flips the x axis movement

- Normally a negative correlates to a positive, but in this case a negative is a negative. Compare example 3 and example 7