Answer:
y = (x - 4)^2 + 5.89
Step-by-step explanation:
The x-coordinate of the vertex is 4, and x = 4 is the axis of symmetry.
The general vertex equation of a parabola is
y = a(x - h)^2 + k, where the vertex is (h, k) and a is a constant coefficient, not yet known.
We know that this parabola passes through the point (7.3, 5), and so we can substitute 7.3 for x and 5 for y in the above equation, obtaining:
5 = a(x - 4)^2 + k
Let's assume that a = 1. Then
5 = (7.3 - 4)^2 + k.
Simplifying, we get
5 = 3.3^2 + k, or 5 = 10.89 + k. Then k = -5.89, and the equation is then
y = (x - 4)^2 + 5.89
