Remove the negative exponent by rewriting x^-3 as 1/x^3
(9)/(1/x^3)
multiply the numerator by the reciprocal of the denominator
9x^3
First, third, fifth, and sixth answer
By the chain rule,


We also have

,

, and

, so at this point we get
Answer:
a. (-3,3), (18,-6), (9,15)
Step-by-step explanation:
If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.
Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.
Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.
The only viable choice is choice A.
9514 1404 393
Answer:
B. A'(0,3), B'(-1, 0), C'(-2, 1)
Step-by-step explanation:
The transformation for reflection across the x-axis is ...
(x, y) ⇒ (x, -y) . . . reflection across the x-axis
Then ...
A(0, -3) ⇒ A'(0, 3) . . . . . . matches choice B only