Hi

Go with what You know first

x^2 - 14x +  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 =  

V(7, -25) 

axis of Symmetry  x = 7 (vertical Line through the Vertex) 

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