Talks about linear, quadratic, and exponential functions and begins to talk about translations.
Hey did you get the math HW for last night? It was so hard!!
Yeah, It was actually quite easy I could help you out!
There are 3 types of equations: Linear, Quadratic, and Exponential
Linear is an equation between two variables that gives a straight line when plotted on a graph.Form: mx+bExample: y = 2x + 1
Quadratic function is a function that can be described by an equation of the form fx = ax2 + bx + c, where a ≠ 0. In a quadratic function, the greatest power of the variable is 2.Example: 6x2+5x+6
The exponential function f with base a isdefined byf(x) = axwhere a > 0, a ≠ 1, and x is any real number.Example: f(x) = 2x
Are you getting the hang of it?
Yeah! It's actually quite simple!
Vertical Shifts- Causes functions to shift up or down Horizontal Shifts- Causes functions to shift to the left or rightReflections- Causes functions to reflect or mirror over the x or y axis
These functions can go through transformations. There are three,
When a number is added or subtracted from a function it is a vertical shift. A positive number makes it go up while a negative makes it go down. It is usually in the form: g(x) =bx+c C>0 move upward, C<0 move downward
Let's start with vertical shifts.
Oh a vertical shift is like a zipper. When you go up, it's like adding a positive number. When you move it down it's like a negative number.