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.
Answer:
51*pi or 160.221
Step-by-step explanation:
total volume = volume of a cone + volume of a cylinder
total volume = 1/3* pi*r^2* height(of cone) + pi* r^2 *height(of cylinder)
total volume = 1/3 * pi * 3^2 * 5 + pi * 3^2 * 4
total volume = 51*pi = 160.221
By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.
So naturally, lets divide 120 by an easy prime number.
We know that 120 is even, so lets try 2
120/2 = 60
lets keep dividing it by two until it becomes odd or prime
60/2 = 30
30/2 = 15
now lets see, what are some factors of 15?
Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2
120/2 = 60
60/2 = 30
30/2 = 15
and 15 is just 3 x 5, so:
<span>
120=(<span>23</span>)×(3)×(5)</span>
or
<span><span>
120 = 2 × 2 × 2 × 3 × 5</span></span>
Answer:
<h3>w=xa</h3>
Step-by-step explanation:
Rewrite the equation as w/a=x
w/a=x
Multiply both sides of the equation by a
w=x*(a)
Multiply x by a
w=xa
<em>Hope this helped!</em>
If you are asking to simplify, this is what I got. Hope I was able to help
