Answer:
Step-by-step explanation:
By definition a diameter goes through the center of the circle. So if we find the midpoint of the diameter, we will have the h and k of the center. Then we will use one of the points ON the circle as x and y and solve for r. Here goes:
to get a midpoint/center of (0, -9).
The standard form of a circle is
Filling in with h, k, x, and y:
which simplifies to
so
Now we can write the equation of the circle:
Answer:
15.25
Step-by-step explanation:
If 3 dozen cookies is 36 then the average weight of each cookie is 5/9 ounces or 0.5555555 ounces
Answer:
- -2^x
- (1/3)^x +5
- 3^(x +2) -3
- (1/2)^x -2
- 4^(x/3)
- 2^(x -3) +4
Step-by-step explanation:
In general, the transformation ...
g(x) = f(x -h) +k
translates f(x) right h units and up k units.
The transformation ...
g(x) = f(x/a)
stretches the graph horizontally by a factor of "a".
The transformation ...
g(x) = -f(x)
causes the graph to be reflected over the x-axis.
___
Applying the above, we have ...
f(x) = 2^x reflected over x is g(x) = -2^x
f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5
f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3
f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2
f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)
f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4
