Question

In the function y= – 3x² +1 what effect does the negative sign have on the graph, as compared to the graph of y=x²?2 O A. It reflects the graph across the x-axis. ОО B. It stretches the graph horizontally by a factor of 3. C. It shrinks the graph vertically by a factor of 3. D. It shrinks the graph horizontally by a factor of 3.

Answer 1

If we consider only the negative sign, it will reflect the graph across the x-axis:

Notice that the green graph corresponds to the function y = x², and the blue one corresponds to the function y = -x².

Then, multiplying -x² by the factor 3 and adding 1 to it, we obtain the red graph.

Therefore, considering just the negative sign, the answer is:

It reflects the graph across the x-axis.