The given function is:
[tex]f(x)=x^2+5x-12[/tex]At x = -2:
f(-2) = (-2)² + 5(-2) - 12
f(-2) = 4 - 10 - 12
f(-2) = -18
At x = 1
f(1) = (1)² + 5(1) - 12
f(1) = 1 + 5 - 12
f(1) = -6
The change in y = f(1) - f(-2)
The change in y = -6 - (-18)
The change in y = -6 + 18
The change in y = 12