COMPLETE THE STEPS TO SKETCH THE GRAPH OF THE GIVEN FUNCTION f(x) = x⁴+3x³-11x²-3x+10
STEP 1: WRITE IN FACTORED FORM
STEP 2: X-INTERCEPTS/ROOTS:
Y-INTERCEPT:
STEP 3: LEADING COEFFICIENT:
DEGREE:
BEHAVIOR:
STEP 4: LOCATE/PLOT POINTS
STEP 5: SKETCH THE GRAPH

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.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

can you make your screen more see able?

then i might be able to .