Final answer:
The y-intercept of the exponential function f(x) = -0.25(6)ˣ⁺² - 1 is -1.25.
Step-by-step explanation:
The y-intercept of an exponential function is the point at which the graph of the function crosses the y-axis. In the given function, f(x) = -0.25(6)ˣ⁺² - 1, we can find the y-intercept by setting x to 0 and solving for y.
Substituting x = 0 into the function, we have:
f(0) = -0.25(6)⁰⁺² - 1
f(0) = -0.25(1) - 1
f(0) = -0.25 - 1
f(0) = -1.25
So, the y-intercept of the exponential function is -1.25.