Consider the functions f(x)=(x-5)^2+2 and g(x)=(x+6)^2-4. which of the following statements is true?
A:the graph of g(x) is shifted 2 units below and one unit to the graph of f(x)
B:The graph of g(x) is shifted one unit above and 2 units to the right of the graph
of f(x)
C:The graph of g(x) is shifted 6 units below and 11 units to the left to the graph
of f(x)
D:The graph of g(x) is shifted 11 units above and 6 units to the left to the graph of f(x)

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get

answer: 486in^2

step-by-step explanation: