Question

Write the equation of the parabola.
Vertex(3,1) Point(1,2)

Answer 1

Use the vertex equation to solve.

\[y=a(x-x _{v})^{2}+y _{v}\] Substitute point (1,2) for (x,y) and (3,1) for \[(x _{v},y _{v})\]
Solve for a and substitute.

\[y=a(x-3)^{2}+1\]