1. **State the problem:** Write the equation of the parabola in vertex form $$y = a(x - h)^2 + k$$ given the vertex and one other point. 2. **Identify the vertex and point:** From the graph, the vertex is $$ (h, k) = (3, 2) $$ and another point on the parabola is $$ (x, y) = (4, 4) $$. 3. **Substitute into the vertex form:** $$ 4 = a(4 - 3)^2 + 2 $$ 4. **Simplify the equation:** $$ 4 = a(1)^2 + 2 $$ $$ 4 = a + 2 $$ 5. **Solve for $$a$$:** $$ 4 - 2 = a $$ $$ a = 2 $$ 6. **Write the final equation:** $$ y = 2(x - 3)^2 + 2 $$ This is the equation of the parabola in vertex form.