Quadratic Relations

[tidal tinsel]

Answer is y=30 but I'd like to know how to get there. Am i meant to construct an equation using the given info?

[calm oar]

Well, you know that (-1, 32) should be the vertex of the parabola
You also know that (3, 0) lies on the parabola
Now, if you substitute these two points into the parabola equation (y = ax^2 + bx + c) and combine that with the fact that the x-coordinate of the vertex is -b/2a, you get a system of 3 linear equations in a, b and c
Can you do it from here?

[magic drum]

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