F(x)=x^2-3x-2 is shifted 4 units right. The result is g(x). What is g(x)?

Step-by-step explanation:

The function is shifted 4 units right.

The value of x in the function is subtracted from 4, because this is a horizontal translation.

c

Step-by-step explanation:

if you shift to the right funnily enough, you have to "compensate" for that by SUBTRACTING the number of units.

EXTRA

To check, use a simple function f(x)= x²

The top of this parabola is at (0,0).

We want to check if g(x) = (x-4)² is the right function

Now if f(x) is shifted 4 units right than all variables with x in them, need to be compensated for. The question is do you need to add or subtract...

We know that the result is g(x), and we know that the top of g(x) would end up at (4,0).

For that to happen you need to compensate with g(x) = (x-4)²

Now check if (4,0) is on g(x) by substituting x=4. if the result turns out to be 0, then you know it is ok...

Substituting x=4 indeed results to

4-4 = 0, so (4,0) is on g(x).

Conclusion, by checking this one special value, you now know you have found the correct compensation factor!

i can answer this question sweetie!

step-by-step explanation:

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.