You and your friends Ari, Ben, and Carla all live on the same street that some tennis courts are on. Ari and Carla live the

same distance from the tennis courts. Ben lives farthest from

the courts. You live the same distance from Ben’s house and

the tennis courts.

Place points A for Ari’s house, B for Ben’s house, C for Carla’s

house, and T for the tennis courts on a number line. Let your

house X be at 0. Describe each person’s location and use

absolute value to find the distance that each person has to

walk to and back home from the tennis courts.

-2 is the right

tip $2.90

total $17.40

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.