The equations below have the solution (1,11). Determine the values of h and m.
y = 3(x-h)^2 + 8 y = mx + 17
thanks! Oh and I think solution means point where they intersect
y = 3(x-h)^2 + 8 and y = mx + 17
Since the point (1,11) is on both graphs, this implies that
11 = m(1) + 17
-6 = m
And also
11 = 3(1 - h)^2 + 8
3 = 3(1 - h)^2
1 = (1 - h)^2
Implies that h = 0 or h = 2
A look at graph here, Drazil confirms that m = -6 and h = 2 are correct :
https://www.desmos.com/calculator/7iezpmqnrx