Question 629272
1. {{{y = (x-5)^2}}} or {{{y = x^2 - 10x + 25}}}
2. Since the y-coordinates of (-2,7) and (9,7) are the same.
   The x-coordinate of the vertex is equal to the average of x-coordinates of
   (-2,7) and (9,7).
   x-coordinate of vertex = {{{(-2+9)/2 = highlight(7/2)}}}
   We can only find the x-coordinate of the vertex but not the y-coordinate because we need another point to find the y-coordinate.
3. The quadratic equation is {{{y = a(x-4)^2 + 3}}}, where {{{a<>0}}}.
   There are no x-intercepts because the lowest point (4,3) is above the x-axis.