Answer:

Step-by-step explanation:
All the absolute value functions given in the option are of the form:
, where (h,k) is the vertex
From your description the absolute value graph has vertex at (-4,-2)
Hence h=-4 and k=-2.
We substitute to get:

We simplify to get:

Given the ordered pair:
(8, 5)
Let's find the ordered pair that represents a point on the same graph assuming this is a graph of a proportional relationship.
Here, we have:
(x, y) ==> (8, 5)
Since this is a graph of a proportional relationship, let's find the constant of proportionality.
We have:

This means when x is 1, y is 5/8.
Thus, the ordered pair that also represents a point on the same graph is:

ANSWER:
The red light is 2 times the violet light.
the length of the hypotenuse is 25 units and the length of the other leg is 15 units
To find the length of one leg of a right triangle we apply Pythagorean theorem
(one leg)^2 = hypotenuse ^2 - other leg ^2
Let x be the length of one log
hypotenuse = 25
other log = 15



Take square root on both sides
x = 20
The length of one leg = 20 units