Write an equation for the translation of that has the asymptotes x = -4 and y = -8. Show your all your steps, then graph it. (Be sure to link your graph to your steps.)

a.)
b.)
c.)
d.)

______________________________

Note:

 - When doing problems like this, it's best to list out each formula and do the drag down method, and replace methods rather than doing it the entire mathematical way, as doing it that way takes a long time and it's more confusing than it should be.

Equation at the end of Step 1:

Note:

 - The x(d) changes from to because of the 2 negatives rule: When there is 2 negatives next to each other, it automatically changes to being the positive version of of that number or the sum of the 2 numbers.

 - The y(k) changes from to because when a and are next to each other, the rule is . The Minus always wins in this type of problem situation.

So the answer is b, .

______________________________

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.