Which statement correctly describes the relationship between the graph of f (x) = 2x and the graph of g (x) = f (x) − 4? a. the graph of g (x) is the graph of f (x) translated 4 units up. b. the graph of g (x) is the graph of f (x) translated 4 units right. c. the graph of g (x) is the graph of f (x) translated 4 units left. d. the graph of g (x) is the graph of f (x) translated 4 units down.

D. The graph of g (x) is the graph of f (x) translated 4 units down.

Explanation:

To show a translation left or right, we add or subtract a value to x before the function is applied.  That is not what has happened to this function, therefore this was not a horizontal translation.

To show a translation up or down, we add or subtract a value at the end of a function.  The function g(x) = f(x) - 4 subtracts 4 from the end of the function f(x); this means that the function has been translated down 4 units.

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺