Question

Find a quadratic function in standard form that has the following points: (1, -2); (2, -2); (3, -4).

Answer 1

Can you find the Axis of Symmetry without doing any algebra?

Answer 2

im not sure

Answer 3

Shall we guess that (0,-4) is yet another point?

Answer 4

Axis of Symmetry is x = 3/2. Please tell me why?

Answer 5

Quadratic Function in Standard Form: \(f(x) = ax^{2} + bx + c\)

From your three points:

(1, -2); (2, -2); (3, -4).

We have:

\(f(x) = a(1)^{2} + b(1) + c = -2\)
\(f(x) = a(2)^{2} + b(2) + c = -2\)
\(f(x) = a(3)^{2} + b(3) + c = -4\)

And you have some algebra in your future!