Algebra 1 , i do not know how to do this, or go about it, im so confused can you please help me!!

Question

Given the function   Write the new function after a translation of 6 units RIGHT.

Answer 1

Hi there! Translating functions can be tricky! Since this translation is moving to the right, we will be dealing with the X axis. That means we will be changing the original function inside of the parentheses with the X. When you move a graph six units to the right, you would think we would be adding six. But when we move the graph along the x-axis we actually do the opposite. So instead of adding six inside of the parentheses with the X, we are going to subtract six.

P(x) = (x + 3 - 6)^2 + 2

P’(x) = (x -3)^2 + 2

This is your new function. If you would like a more detailed explanation on translating functions, I would love to have the opportunity to have a session with you to teach you all about function translations. Feel free to reach out if you have any additional questions