Where is the x- coordinate in this equation?

Question

h(t) = −6 • (t − 3.7)2 + 82.14

Answer 1

h is a function of the variable t, not x. That is, t takes the place of x, so just treat t as if it were x. h(t), btw, is the equation of a parabola in vertex form. The vertex form is, using t instead of x:

h(t) = a(t-h)² + k

where (h,k) are the coordinates of the vertex and a is a constant. So in your equation, the vertex is located at (3.7, 87.2). The t-coordinate of the vertex is 3.7.