Question

which statement best describes the changes to the graph when the coefficient of x^2 is multiplied by 1/2?A. the parabola will get narrower.B. the parabola will get wider.C. the parabola will shift to the right by 1/2 unit.D. the parabola will shift to the left by 1/2 unit.

Answer 1

Answer:

B. The parabola will get wider

Explanatiion:

The graph for the function x² is shown in the question

The graph x² is multiplied by 1/2. The new function becomes 1/2 x²

Let us plot the graph of 1/2 x² to compare with the graph of x² that has already been given

The graph of 1/2 x² is plotted above

As shown, it is obvious from the graphs of 1/2 x² and x² that the graph of 1/2 x² is wider than the graph of x²