8if f(x) = x3, which of the following describes the graph of f(x + 2)? a. the graph of f(x + 2) is a horizontal shift of f(x) = x3 two units to the right. b. the graph of f(x + 2) is a vertical shift of f(x) = x3 two units up. c. the graph of f(x + 2) is a horizontal shift of f(x) = x3 two units to the left. d. the graph of f(x + 2) is a vertical shift of f(x) = x3 two units down.

C

Step-by-step explanation:

In translating graphs of functions, we can follow 2 rules:

1. The graph of   is the graph of   shifted a units UP VERTICALLY and the graph of   is the graph of   shifted a units DOWN VERTICALLY.

2. The graph of    is the graph of    shifted a units to the LEFT HORIZONTALLY and the graph of    is the graph of    shifted a units RIGHT HORIZONTALLY.

If we understand the 2 rules above, we clearly know that f(x+2) will be a horizontal shift to the LEFT, of course, with respect to the function  . Looking at the answer choices, C is right.

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.

answer: you need to organize this better it does not make sense.

step-by-step explanation: ?