A vertex can be the max or min. The vertex is the highest point or lowest point of a function.
Answer:
C: 
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
X would be r*cos theta and y would be r*sin theta.
Here, x is 5cos 135 deg = 5(-1/sqrt(3))
and y is 5* sin 135 deg = 5*(1/sqrt(3))
Write this point in the form (x,y), using the above values for x and y.
Answer with explanation:
Properties of Parallelogram
1. Opposite sides are equal and parallel.
2. Diagonals bisect each other.
3. opposite angles are equal.
We will use second property to find coordinates of Vertex P of this parallelogram.
Mid point formula,
The mid point of line segment joining two points, (a,b) and (c,d)=(x,y) is given by,

Let coordinates of P be (m,n).

So, Coordinates of vertex P of the parallelogram is (m,n)=(b+c-a,d) .
Option B