If the vertex of a parabola is (3,11) and another point on the curve is (2,7),
what is the coefficient of the squared expression in the parabola's equation?

Step-by-step explanation:

The vertex form of the equation for a parabola is

y = a(x - h)² + k

where h and k are the coordinates of the vertex

and a is the coefficient of x² in the standard form.

Data:

Vertex at (3,11)

A point at (2,7)

Calculations:

1. Substitute the coordinates of the vertex into the equation

y = a(x - 3)² + 11

2. Substitute the coordinates of the point into the equation and solve for a

answer is x<