Answer:
Table B demonstrates a linear function.
Step-by-step explanation:
The reason Table B is classified as a linear function is that for each increment of one in x, y increases by a consistent rate of 4.
A quadratic function in standard form is expressed as
f(x) = ax² + bx + c
with coefficients a, b, and c.
The quadratic function provided is
f(p) = p² - 8p - 5
By relating this to the standard form, where p stands in for x, we find:
a = 1 because the leading coefficient is 1*p²,
b = -8 as the linear part is -8*p,
and c = -5 since the constant is -5.
Based on the choices available, the correct answer is the third one:
a = 1, b = -8, c = -5.