Answer:
1/36
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 (5,5)
A point at (-1,6)
Calculations:
1. Substitute the coordinates of the vertex into the equation
y = a(x - 5)² + 5
2. Substitute the coordinates of the point into the equation and solve for a
6 = a(-1 -5)² + 5
6 = a(-6)² + 5
6 = 36a + 5
1 = 36a
a = 1/36
The coefficient of x² in the standard form is 1/36.
