Question

The main cable of a suspension bridge forms a parabola, described by the equation

y = a(x - h)2 + k,

where
y is the height in feet of the cable above the roadway,
x is the horizontal distance in feet from the left bridge support,
a is a constant, and

(h, k) is the vertex of the parabola.
What is the vertex of the parbola?

Answer 1

The vertex of the parabola is represented by the coordinates (h, k) in the equation y = a(x - h)2 + k.

Step-by-step explanation:

The vertex of a parabola in the form y = a(x - h)² + k is given by the coordinates (h, k). In this case, the equation of the main cable of the suspension bridge is y = a(x - h)² + k, and the vertex is represented by the coordinates (h, k). Therefore, the vertex of the parabola is the point (h, k).