Answer
The graph of $y=x^2$ is graphed below and it is a parabola. To graph the function $y=−2x^2$ we need to vertically stretch the graph by a factor of two and vertically reflect it as the function has a negative sign. To graph we multiply each y-value by -2 while keeping the x-value same. So for example, the point (1,1) of function $y=x^2$ becomes (1,-2) for the function $y=−2x^2 $as the y-value is multiplied by negative two.
Work Step by Step
The graph of $y=x^2$ is graphed below and it is a parabola. To graph the function $y=−2x^2$ we need to vertically stretch the graph by a factor of two and vertically reflect it as the function has a negative sign. To graph we multiply each y-value by -2 while keeping the x-value same. So for example, the point (1,1) of function $y=x^2$ becomes (1,-2) for the function $y=−2x^2 $as the y-value is multiplied by negative two.
