SOLUTION: Explain how the graph of y-5=(x-3)^2 can be obtained from the graph of y=x^2. My answer is, Shift the graph of y=x^2 left 3 units and up 5 units. Is that right. Thanks again for

Algebra ->  Points-lines-and-rays -> SOLUTION: Explain how the graph of y-5=(x-3)^2 can be obtained from the graph of y=x^2. My answer is, Shift the graph of y=x^2 left 3 units and up 5 units. Is that right. Thanks again for      Log On


   

Question 43502This question is from textbook Algebra and trigonometry with analytic geometry
: Explain how the graph of y-5=(x-3)^2 can be obtained from the graph of y=x^2. My answer is, Shift the graph of y=x^2 left 3 units and up 5 units. Is that right. Thanks again for helping. This question is from textbook Algebra and trigonometry with analytic geometry

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Look at: y+=+a%28x+-+h%29%5E2+%2B+k where the vertex is (h,k)
Since h is opposite, you would shift three units right and five units up.
Red Graph: y+=+x%5E2
Green Graph: y+=+%28x+-+3%29%5E2+%2B+5
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C+%28x+-+3%29%5E2+%2B+5+%29+