Answer:
y = -1/10x^2 +2.5
Step-by-step explanation:
The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:
-1 -4 = -5
So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).
The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...
y = (1/(4p))(x -h) +k
y = -1/10x^2 +2.5
_____
You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.
Since molly's solution tally's with the given solution, hence <em>Molly's solution is correct.</em>
Given the working on a partial product of 93 and 51 carried out by Molly as shown:

This partial product can also be solved as shown below:

Applying the distributive law:

Since molly's solution tally's with the given solution, hence <em>Molly solution is correct.</em>
Learn more about partial product at: brainly.com/question/24716925
The rate of change is -6 because it’s being subtracted by 6 each time.
B
Multiply 35% by 200 and get 70
Add that 70 to 200 and you’ll get B which is 270