Question 864225
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Hi
Go with what You know first
x^2 - 14x + {{{  highlight_green(24) }}} y-intercept is 24 (when x = 0)
(x-12)(x-2) = ,   Factoring Gives Up the roots: x = 2, 12
As to the Vertex and axis of symmetry of the parabola the Eq represents:
complete the Square
x^2-14x+24 = (x-7)^2 -49   +24 = {{{(x-7)^2 - 25}}} 
V(7, -25) 
axis of Symmetry  x = 7 (vertical Line through the Vertex)