Algebra-2

The function that represents a decreasing exponential function with a y-intercept of -8 is y = -8(3)^x. The base 3 is greater than 1, indicating exponential growth, but it has a negative sign, so it would decay. When x is zero, the equation simplifies to y = -8(3)⁰ = -8(1) = -8, which matches the given y-intercept. As x increases, the output values will decay exponentially.

Option A. y = (0.7)^x + 8

This represents exponential decay with the base 0 < 0.7 < 1. However, when x is zero, the equation simplifies to y = (0.7)⁰ +8 = 1 +8 = 9. Therefore, the y-intercept is 9, not ...