As of a certain date, there had been a total of 14,649 performances of two shows on Broadway, with 2389 more performances of Show A than Show B. How many performances were there of each show? There were performances for Show A.

Subtract the difference:

14,649 - 2389 = 12,260

Divide that by 2

12,260 / 2 = 6,130

That is the number of shows for B.

For A add the 2,389 to the number of shows for B

2389 + 6130 = 8,519

Show A = 8,519

Show B = 6,130

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

the first one, all those points on the line just make a strait line.