Answer:
y = a(x² - 10x + 25) + 3
Explanation:
From standard form of an equation, of a parabola, we have;
y = a(x - h)² + k
We are told that the parabola has a vertex at (5, 3). Which in essence is (h, x)
Thus;
y = a(x - 5)² + 3
y = a(x² - 10x + 25) + 3
Therefore, the equation that has a graph that is a parabola with a vertex at (5, 3) is;
y = a(x² - 10x + 25) + 3