Question

Help!!
f(x) = x2. What is g(x)?

Answer 1

g(x) = 1/2x² is the correction option.

Hence, option B is true.

Explanation:

Please check the attached graph.

• The blue line represents f(x) = x²

• The red line represents f(x) = 1/2x²

It means when we multiply the parent function by a number 'b' which is less than 1, then the parent function f(x) = x² is vertically compressed by b.

Here, the graph is vertically compressed by 1/2, therefore we conclude that g(x) = 1/2x² is the result of vertical compression of the parent function by 1/2.

Therefore, g(x) = 1/2x² is the correction option.

Hence, option B is true.