General vertex form:

Given :

Extract "spread factor" m

Complete the square


Write as a squared binomial and simplify the constant

Re-write to match signs of standard general form:

Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4

We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(c):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation





4x-3x=-1-16
x=-17
Hence final answer is x=-17
Answer:
The pattern is that, every time a 9 is added. This pattern continuous forever.
Step-by-step explanation:
9 X 1 = 9
9 X 2 = 18 (9+9)
9 X 3 = 27 (9+9+9)
Etc.
Answer:
1/6
Multiply 5/12 x 2/5 then cross cancel 12 and 2 and get 6 then cross cancel 5 and 5 to get 1.
Final answer:
1/6
Answer:
(a) 
(b)
units.
(c) m = 10 units
Step-by-step explanation:
Force (F), mass (m) and acceleration (a) are related by the equation F = ma.
(a) We have to solve this equation for a.
So, F = ma ........ (1)
⇒
..... (2) (Answer)
(b) If F = 1 units and m = 5 units, then from equation (1), we get
units. (Answer)
(c) If F = 25 units and a = 2.5 units.
Then from equation (1), we get,
units. (Answer)