Asked by Jo
How to find the transformations of these graphs of equations?
1. y=(x+2)^2-3
2. y=3x^2-6
3. y=-2(x-4)^2+5
Please teach me..
Answers
Answered by
Steve
y-k = f(x-h)
translates the graph y=x by the amounts h right and k up.
y = (x+2)^2-3
y+3 = (x+2)^2
y-(-3) = (x-(-2))^2
so, that is the graph y=x^2 shifted -3 up and -2 right. Or, more simply, 2 left and 3 down.
Work the others the same way. You can verify your results at the url below, using it as an example
http://www.wolframalpha.com/input/?i=plot+y%3Dx%5E2,+y+%3D+(x%2B2)%5E2-3+for+x%3D-4..3
translates the graph y=x by the amounts h right and k up.
y = (x+2)^2-3
y+3 = (x+2)^2
y-(-3) = (x-(-2))^2
so, that is the graph y=x^2 shifted -3 up and -2 right. Or, more simply, 2 left and 3 down.
Work the others the same way. You can verify your results at the url below, using it as an example
http://www.wolframalpha.com/input/?i=plot+y%3Dx%5E2,+y+%3D+(x%2B2)%5E2-3+for+x%3D-4..3
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.