SOLUTION: Given the parent function f (x) = x2, explain the translation of f (x) = (x – 3)2 + 5.

Algebra ->  Inequalities -> SOLUTION: Given the parent function f (x) = x2, explain the translation of f (x) = (x – 3)2 + 5.      Log On


   

Question 1104521: Given the parent function f (x) = x2, explain the translation of f (x) = (x – 3)2 + 5.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+x%5E2+
+f%28x%29+=+%28+x-3+%29%5E2+%2B+5+
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The parabola is shifted right 3 units
and up 5 units
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check:
Here are plots of both equations:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-5%2C+20%2C+x%5E2%2C+%28+x-3+%29%5E2+%2B+5+%29+