Answer: Option C
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of
then, by definition:
If the graph moves vertically upwards.
If the graph moves vertically down
In this problem we have the function and our parent function is
therefore it is true that
Therefore the graph of is moves vertically upwards by a factor of 5 units.
The answer is the Option C: "The graph of g(x) is the graph of f(x) shifted up 5 units"
Answer:
Isosceles
Step-by-step explanation:
In order to figure what type of triangle this is out, we need to start by plotting the given points. That will help us visualize the triangle better and see if our conclusions make sense. (See attached picture).
Once we got the triangle, the strategy to follow is to use the distance between two points formula to see what the measurement of each side of the triangle is. This will help us determine if 2, 3 or none of the sides of the tirangle are the same.
The distance formula is the following:
so now we can find the desired distances, let's start with the distance between P and Q:
which yields:
next, let's find the distance between P and R:
which yields:
and finally the distance between Q and R:
which yields:
As you may see from the result, only two of the three sides are the same, |PQ| and |PR|, so this will be an Isosceles triangle.
