= Assuming all parabolas are of the form y = ax2 + bx + c, drag and drop the graphs
to match the appropriate a-value.
a = 0.25
a = 1
a=4
*
+

See below

Step-by-step explanation:

When , the parabola horizontally expands, so matches with the rightmost graph.

When , the parabola horizontally shrinks, so matches with the leftmost graph

Last, but not least, matches with the middlemost graph since the parabola is not affected.

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.

2.83941151 would be the answer you're looking for! : )