SOLUTION: Write the equation of a parabola that contains the point (0, 8) that is congruent to the parabola {{{3x^2}}}. Describe the series of transformations that would move the given parab

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the equation of a parabola that contains the point (0, 8) that is congruent to the parabola {{{3x^2}}}. Describe the series of transformations that would move the given parab      Log On


   



Question 1030525: Write the equation of a parabola that contains the point (0, 8) that is congruent to the parabola 3x%5E2. Describe the series of transformations that would move the given parabola to your parabola
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x^2
y=3x^2+bx+c
8=c, when x=0.
y=3x^2+8
The transformation is up 8 units.
y=3(x-0)^2+8 is the parabola written in vertex form. y=3x^2 becomes congruent with the parabola made by transforming it 8 units upward or positive. That is the answer.
graph%28300%2C200%2C-10%2C10%2C-10%2C30%2C3x%5E2%2C3x%5E2%2B8%29