SOLUTION: What is the equation of the new parabola if the graph of y = −3x2 is translated 7 units to the right and up 2 units?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: What is the equation of the new parabola if the graph of y = −3x2 is translated 7 units to the right and up 2 units?      Log On


   

Question 1047372: What is the equation of the new parabola if the graph of y = −3x2 is translated 7 units to the right and up 2 units?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+-3x%5E2+
Translating 7 units to the right:
+y+=+-3%2A%28+x+-+7+%29%5E2+
Translating up 2 units:
+y+-+2+=+-3%2A%28+x+-+7+%29%5E2+
+y+=+-3%2A%28+x-7+%29%5E2+%2B+2+
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Here is a plot of original and translated equations:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-3x%5E2%2C+-3%2A%28+x-7+%29%5E2+%2B+2+%29+