Axis symmetry x=3 passing through (3,1) and (1,9)

Not sure how to solve

1 answer

(3,1) is the vertex of the parabola.

(1,9) and (5,9)

y = ax^2 + bx + c

Substitue in the point (3,1)
1 = a(9) +b(3) +c

Do the same for (1,9) and then again for (5,9)

You will have 3 equations and 3 variables. Solve for a, b, c.

There is also a formula to find the equation using the vertex and 1 point. you should be able to find it in your textbook or using a google search.