SOLUTION: I need help translating the line. My answer is the blue line, and the original is the black one. I don't think I am correct, but I'd like to make sure please.
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Question 1181829: I need help translating the line. My answer is the blue line, and the original is the black one. I don't think I am correct, but I'd like to make sure please.
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https://imgur.com/a/oUsQ2Fg Found 3 solutions by Boreal, ikleyn, greenestamps:Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website! Shift the graph to the right (opposite sign to the (x-4)) and then to shift the whole graph down 1 unit (same sign) to account for the-1. When x is 4, y is -1, and when x is 5, y=0. Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website! .
The question is to describe the translations needed to transform the given function y = x^3
to other function y = (x-4)^3 -1.
The answer is: translate the base plot 4 units right and then one unit down.
As you translated it in your plot (yours blue line), it is INCORRECT.
Changing "x" to "x-4" moves the graph 4 units to the right:
It is important to note that in your graph you used the "x-4" to shift the graph 4 units to the left, which is not correct.
One way to see that the translation has to be to the right is to note that (in this example) the function value for f(x) is 0 at x=0; that means the translated function has to have the value 0 when (x-4) is 0 -- which is when x is 4. So the zero of the function (and thus the whole graph) moved 4 units to the RIGHT.