The graph shows the function y 12 x 2 1 This is the graph

The graph shows the function y = -1/2 |x + 2| + 1. This is the graph of y = |x| first vertically shrunk, then reflected in the x-axis, translated left 2 units and finally up 1 unit. What is the factor of the vertical shrink?

Solution

We can stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant.Example : 2f (x) is stretched in the y direction by a factor of 2, and 1/2 f(x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of 1/2 )

So, in our case y = -1/2|x+1| +1

Graph of |x| is multiplied bya factor 1/2 .So. vertical shrink factor is 1/2