Answer:
Reflect the parent function over the x-axis, and translate it 8 units to the left.
Step-by-step explanation:
The given function is

The parent function is

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.
Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.
Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.
Given:
the design is to be rotated about the line x = 1 to produce the shape of the urn.
To generate a design for the urn, we need to draw a vertical line at x = 1, this will be our axis of rotation (or the basis for our mirror). We will use the mirror principle in making our design. So we will either draw half the shape of the urn at the left or right side of the axis of rotation.
Answer:
Step-by-step explanation:
we know



(a)![\left [ \left ( \hat{i}+\hat{j}\right )\times \hat{i}\right ]\times \hat{j}](https://tex.z-dn.net/?f=%5Cleft%20%5B%20%5Cleft%20%28%20%5Chat%7Bi%7D%2B%5Chat%7Bj%7D%5Cright%20%29%5Ctimes%20%5Chat%7Bi%7D%5Cright%20%5D%5Ctimes%20%5Chat%7Bj%7D)
![=\left [ \hat{i}\times \hat{i}+\hat{j}\times \hat{i}\right ]\times \hat{j}](https://tex.z-dn.net/?f=%3D%5Cleft%20%5B%20%5Chat%7Bi%7D%5Ctimes%20%5Chat%7Bi%7D%2B%5Chat%7Bj%7D%5Ctimes%20%5Chat%7Bi%7D%5Cright%20%5D%5Ctimes%20%5Chat%7Bj%7D)
![=\left [ 0-\hat{k}\right ]\times \hat{j}](https://tex.z-dn.net/?f=%3D%5Cleft%20%5B%200-%5Chat%7Bk%7D%5Cright%20%5D%5Ctimes%20%5Chat%7Bj%7D)

(b)


(c)


(d)


