They're not congruent.
If you count the numbers between AC and BE, they're different.
AC - goes from -7 to 0, which is 7 spaces
BE - goes from -2 to 6, which is 8 spaces
The vertex is (-1, 2).
The equation of parabola:
where (h, k) is the vertex
We have h = -1 and k = 2.
Substitute:

I chose three because 3*4 is twelve and 36 divided by twelve is three
Y=3x-10 and 3x+2y=16
y=3x-10
subsitute 3x-10 for y in other equation
3x+2y=16
3x+2(3x-10)=16
distribute
3x+6x-20=16
9x-20=16
add 20 both sides
9x=36
divide both sides by 9
x=4
sub back
y=3x-10
y=3(4)-10
y=12-10
y=2
x=4
y=2
(4,2) is soluiton