Answer:
g(x) = 1/2x² is the correction option.
Hence, option B is true.
Step-by-step 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.
