If f(x)=-3x^2-4x+8, find f(-6)

-76

Explanation:

f(-6) = -3*-6^2-4*-6+8

= -3*36+24+8

= -108+32

= -76

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west