Given the point (-1, 8), answer the questions below: after that point was translated 5 units right and 4 units up, the coordinates of this particular point would be ( , ). if this point is a part of a linear function, the parent function f(x)=x would be transformed into an equation that looks like this: g(x) = .

a) x=4 is 5 units to the right of x=-1.

y=12 is 4 units up from y=8.

Your point (-1, 8) is translated to (4, 12).

___

b) If the parent function f(x) = x is translated so it goes through (4, 12), the translated function can be written ...

... g(x) = f(x-4) +12 = (x -4) +12

... g(x) = x +8

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: