a city that has an elevation of 15 meters is closer to sea level than a city with an elevation of -10 true or false? explain your reasoning

False

Step-by-step explanation:

At sea level, elevation is 0. This means that we can portray sea level as being the midpoint of distances below sea level and distances above sea level.

Thus, a distance of 1 m below sea level = - 1 is equivalent to a distance of 1 m above sea level albeit in opposite directions.

Hence, an elevation of 15m above sea level is greater in distance Than an elevation of - 10 m below sea level because the absolute value of 15 is greater than the absolute value of 10.

|15 - 0|= 15

|-10 - 0| = 10

Hence, elevation of - 10 below Sea level is closer to sea level than elevation of 15 above sea level

The standard form is (x - h)^2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p

We know that the focus is (0, -2) which results in h=0 and k+p=-2.
We also know that the directrix of the parabola is represented by y = 2 so k-p=2

k-p=2
k+p=-2

If we add those 2 equations:
2k=0
k=0
p=-2

Know we replace in the standard form:
(x-0)^2 = 4*(-2)*(y-0)
x^2 = -8*y