An automobile headlight is a reflective parabola where the light bulb is placed at the focus. the light from the bulb reflects from the parabola in parallel beams, then forward. the parabolic headlight is 5 inches wide and 3 inches deep. the headlight or vertex is attached to the car frame at point (0, 0). find the position of the light bulb, which is at the focus of the parabola. round to the nearest hundredth, if necessary.

dunno

step-by-step explanation:

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.