Answer:
Step-by-step explanation:
We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.
We know that the area of a circumference is:
where r is the radius of the circumference.
further
d = 2r
Where d is the diameter of the circumference.
Then the radius of the source is 1.5 ft.
The radius of the pond is 1.5 + 3 = 4.5 ft
Finally the area of the pond is equal to the area of the ring that is shown in the image
Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry:
= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
Answer & Step-by-step explanation:
The domain of a set of points refers to the input, also known as the x values. To find the domain, record all the x values given (x,y):
:Done
**The range is the output, aka the y values.