We are given that f(x) 2x^2 + a. if a is a constant and f(2)+f(3)=f(5), what is the value of a? a)6b)12c)24d)48

You want to find "a" when f(2) +f(3) = f(5), for f(x) = 2x^2 +a.

Substituting, we have

... (2·2^2 +a) + (2·3^2 +a) = 2·5^2 +a

... 8 + a + 18 + a = 50 + a

... 26 + a = 50 . . . . . . . . . . . subtract a

... a = 24 . . . . . . . . . . . . . . . subtract 26

The appropriate choice is

... C) 24

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !