Answer:
A Translation 4 units leftwards followed by a reflection across the x-axis.
Step-by-step explanation:
he transformations are:
Translation 4 units leftwards.
Reflection across the x-axis.
You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.
1 1/2 or 3/2 because 1/2 divided by 1/3 is equal to that
The first step we take is to factor out a GCF:
2d(d³ + 3d² - 9d - 27)
Now, we can factor what's in the parenthesis by grouping (don't forget to keep the 2d we factored out):
2d[d²(d+3) -9(d+3)]
2d(d²-9)(d+3)
d²-9 can still be factored because it is the difference of two squares:
2d(d+9)(d-9)(d+3)
That is the completely factored form.