Blog 4- blake keats

Hi. I am professor Blake Keats and I am going to be discussing the different types of transformations. The different types include reflections, shifts, stretches, and compressions.

Reflections can occur about the x or the y-axis. The way to determine whether a function is going to complete an x-axis reflection is if there is an outside change to the formula of the function while a reflection about the y-axis occurs if there is a change inside of a formula. During a reflection over the y-axis, the y coordinate stays the same and the x coordinate becomes opposite of the original x coordinate.

A vertical shift in a graph can be determined by the constant “k” within the formula y=g(x)+k or y=g(x)-k. +k indicates a vertical shift upward  on the y-axis by k units and –k indicated a vertical shift downward on the y-axis by k units.

Horizontal stretches and compressions are controlled by whether or not the value of k is less than or greater than 1. If the value is less than 1, there is a horizontal stretch. If the value of greater than 1 then there is a horizontal compression.