Question

A parabola f intersect the x-axis at B and C and the y-axis at E.The axis of symmetry of the parabola has equation x=3.The line through E and C has the equation g(x)=x÷2-7÷2

1.1 Show that the coordinates of C are (7;0).

Answer 1

If y = x/2 - 7/2
and it passes through C and E which are the x and y intercepts respectively, the

for C, let y = 0
0 = x/2 - 7/2
x/2 = 7/2
x = 7,
so C is (7,0)

Why all that extra stuff about parabolas etc ?

Answer 2

Calculate x -coordinates of B