According to the vertex and the directrix of the given parabola, the equation is:

<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:

In which a is the leading coefficient.
The directrix is at y = k + 4a.
In this problem, the vertex is (1,4), hence:

The directrix is at y = 7, hence:


Hence, the equation is:


More can be learned about the equation of a parabola at brainly.com/question/26144898
This Is very simple.
30m + 50 = 20m + 100
This is the new equation needed to solve for m.
first we must isolate "m".
30m + 50 = 20m + 100
- 50 - 50
30m = 20m + 50
-20m -20m
10m = 50
divide both sides by 10 to isolate "m".
m = 5
hope this helps!