Functions and Translations pt. 1
Updated: 4/28/2020 This storyboard was created with StoryboardThat.com

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• ﻿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 