The value of the function at h(-8) is -18.
Evaluation of quadratic equation.
The evaluation of the quadratic equation involves the substitution of -8 for all values of 't" in the quadratic equation. This method helps us to know how function of quadratic equation performs at specific points.
In the given information, we have:
![h(t) = -2(t + 5)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rmyqv359b6k8gzvvo2clu9slyk6etwpr2f.png)
replace t with (-8), to solve for the function when t = -8
![h(-8) = -2((-8) + 5)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4q55uaq3jote3z5kx4anvt0bpy0rbc85n0.png)
![h(-8) = -2(-3)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4uo6erdpur3h0cdfyjlo5z4yw3m1kao7pm.png)
h(-8) = -2(9)
h(-8) = -18
Therefore, the value of the function at h(-8) is -18.