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Functions and Translations pt. 1
Updated: 4/28/2020
Functions and Translations pt. 1
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Storyboard Description

Talks about linear, quadratic, and exponential functions and begins to talk about translations.

Storyboard Text

  • 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.
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