5. help me i’ll give brainliest if you’re right
1 answer:
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Answer:
meters.
Step-by-step explanation:
We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.
We are also given a table of data as:
Time (minutes) Altitude (meters)
6 -20.4
9 -27.6
12 -34.8
First of all, we will find Mr. Mole's digging rate using slope formula and given information as:
, where,
represents difference of two y-coordinates,
represents difference of two corresponding x-coordinates of y-coordinates.
Let be
and
be
.
Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.
, where,
m = Slope,
b = The initial value or the y-intercept.
Upon substituting and coordinates of point
, we will get:
Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is meters.
let's notice something, the parabola is a vertical one, so the squared variable is the x, and is opening downwards, meaning the x² will have a negative coefficient.
the distance from the vertex to the directrix/focus is the amount of "p" units, let's see in the graph, the distance from the vertex to the directrix is 2, and since the parabola is opening downwards, "p" is a negative 2, p = -2. The vertex is of course at (0, 2).