Question
What is the equation of a parabola whose vertex is (5, -2) and whose graph is 6 times taller than y=x^2?
Include y= as part of your answer
Include y= as part of your answer
Answers
Steve
the parabola y=x^2, scaled to be 6 times taller, is
y = 6x^2
To shift the vertex to (5,-2), we need
(y+2) = 6(x-5)^2
y = 6(x-5)^2 - 2
y = 6x^2
To shift the vertex to (5,-2), we need
(y+2) = 6(x-5)^2
y = 6(x-5)^2 - 2