Explain the transformation of the parent function y = x? in the equation y = (x - 5)2 + 3.

Right 5, Vertical stretch by 2, up 3

Step-by-step explanation:

You need to do the step in the parenthesis first, that step is to the right 5. You should remember that it is backwards of what you would think, a minus is to the right and a plus is to the left. The next is the multiplication which is by 2. It is a vertical stretch by two because the slope will increase there. The last step is up three.

it reflected because of the glass maube

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.