Aj graphs the function f(x) = -(x +2)^2 - 1 picture shown below.

part 1: what mistake did aj make in the graph?

part 2: evaluate any two x-values (between -5 and 5) into aj's function. show your work. how does your work prove that aj made a mistake in the graph?

Part 1: AJ reflected the graph over x-axis.

Part 2: The two x-values are  and . AJ plotted the graph using the function . This resulted the graph to reflect over x-axis.

Step-by-step explanation:

Part 1: AJ mistakenly plotted over x-axis, which means he reflected the graph over x-axis.The x-value remains the same. Only the y-values are transformed into its opposite sign.

Part 2:  

Step 1: Plotting any two values for the function

Substituting x=0, we get,

Substituting x=-1, we get,

The two x-values for AJ’s function is  and

Step 2:

AJ plotted the graph using the function . This resulted the graph to reflect over x-axis.