A circle has center O(−1, −3) and radius 5. Which of the following points is on the circle?
1 answer:
You might be interested in
Hello!
Recall that the equation of an exponential graph is:
We can see from the graph there is a y-intercept at y = 5. Plugging in 0 for x results in:
Solve for b by plugging in another point on the graph:
Write the final equation:
Given equation is
It can be written as follows.
Which is of the form
where a=3 and b=4.
We know that the coordinates of the vertices are (a,0) and (-a,0)
Substitute a=3, we get
The vertices are (3,0) and (-3,0).
We know that the coordinates of the foci are (c,0) and (-c,0)
Substitute a=3 and b=4, we get
Substitute c=5, we get
Hence the foci are (5,0) and (-5,0).