Question

How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?

a) It is translated 1 unit right and compressed vertically by a factor of 3.

b) It is translated 1 unit left and compressed vertically by a factor of 3.

c) It is translated 1 unit right and stretched vertically by a factor of 3.

d) It is translated 1 unit left and stretched vertically by a factor of 3.

Answer 1

Explanation:

Remark

Always the easiest way to study these questions is to get a graph. The one below shows

Red: y = x^2

Blue: y= 3(x + 1)^2

You will notice that (x+1)^2 shifts the graph Left -- the opposite to what you might think.

The 3 is a little harder. It narrows the red mother graph. Which choice says that?

The choice is between b and d. Why. Because the blue graph is to the left of the red one.

You have to learn the meaning of compressed. A better word might be narrows.

Answer

B