Build the equation that combines the functions b = 3r + 1 and y = 2b ^ 2

Answer 1

To combine the functions, we first substitute the expression for b from the first function into the second function and simplify:

y = 2(3r + 1)^2
y = 2(9r^2 + 6r + 1)
y = 18r^2 + 12r + 2

Therefore, the combined equation is y = 18r^2 + 12r + 2.