The parent function is:
y = x ^ 2
Applying the following function transformation we have:
Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
We have then:
g (x) = (x-2) ^ 2
Then, we have the following function transformation:
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then that the original function is:
g (x) = (x-2) ^ 2
Applying the transformation we have
f (x) = g (x) +3
f (x) = (x-2) ^ 2 + 3
Answer:
the function f(x) moves horizontally 2 units rigth.
The function f (x) is shifted vertically 3 units up.
If your looking for a company maybe Toms? im not sure
Answer:
(4500(Pi))/2 or 7068.585
Step-by-step explanation:
r = 15 cm
volume of a sphere:
(4/3)(Pi)r^3
Therefore:
(4/3)(Pi)15^3
15^3 = 3375
4/3 * 3375 = 4500
and since it is half a sphere (it is a bowl) the answer would be divided by two:
4500(Pi) divided by 2
14137.17 divided by 2
Step-by-step explanation:
<u>Given functions:</u>
<u>Find (f*g)(6):</u>
- (f*g)(6) = f(6)*g(6) = 6(6 - 1)*3(6) = 30*18 = 540
<u>In case it is a composite function (f · g)(6) the answer is different:</u>
- (f · g)(6) = f(g(6)) = f(3*6) = f(18) = 18*(18 - 1) = 306
