What is the standard form of g(x) = (-x-4)(x-3)

g(x) = - x² - x + 12

Step-by-step explanation:

Given

g(x) = (- x - 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

- x(x - 3) - 4(x - 3) ← distribute both parenthesis

= - x² + 3x - 4x + 12 ← collect like terms

= - x² - x + 12 ← in standard form

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

sine

step-by-step explanation: