Look at the picture for the question.

Step-by-step explanation:

Given

Transformations:

1. Horizontal shrink by 1/4

2. Translation 2 units right

Required

Determine the new function

1. Horizontal shrink by 1/4

This implies that:

For:

After shrinking, the function is:

2. Translation 2 units right

For:

The right translation is given by:

Where b is the number of units translated.

So:

Hence:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

answer4 to the second power is 16

and 4 to the third power is 64,