Answer:
f(x) = 2(x - 1)² + 2
Step-by-step explanation:
The vertex form is f(x) = a(x - h)² + k, where the vertex is (h, k).
Putting in the given vertex, we get f(x) = a(x - 1)² + 2. To find a, we put in the other point that the parabola passes through (4, 20) which is [x, f(x)].
20 = a(4 - 1)² + 2
20 = a(3)² + 2
20 = 9a + 2 (subtract 2 from both sides to get a alone)
<u>-2 -2</u>
<u>18 = 9a</u> (divide both sides by 9 to get a by itself)
9 9
2 = a (put that into our vertex form equation)
f(x) = 2(x - 1)² + 2
Answer:
the answer is A
Step-by-step explanation:
The value is positive six
Answer:
5m
and
-8n
Step-by-step explanation:
7m - 2m = 5m
and
-5n - 3n = -8n
Have a great day
Answer:
Domain: 
Range: ![(-\infty, 3]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%203%5D)
Decreases over: 
Step-by-step explanation:
Given
--- Missing from the question
Solving (a): The domain
To get the domain, the expression under the square root must not be negative.
In other words:

Solve for x


Hence, the domain is:

To get the range, we plot the values of the domain in the expression.











So, the range is: ![(-\infty, 3]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%203%5D)
To get the interval where the function increases or not, we simply plot the graph of f(x).
See attachment for graph.
From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.
This implies that, the graph decreases over the interval 