Write an equation of a parabola with the given vertex and focus.
vertex (-1,3); focus (-1,4)
+128408 The focal distance is the distance between the focus and the vertex = 1
This parabola turns upward because the focus is a bove the vertex
The form is
4a ( y - k) - (x - h)^2 where (h,k) is the vertex = ( -1.3)
So we have that
4(1) ( y - 3) = ( x - - 1)^2
4 ( y - 3) = (x + 1)^2 divide both sides by 4
y - 3 =(1/4) (x + 1)^2 add 3 to both sides
y = (1/4) (x + 1)^2 + 3
