Question

Which of the following describes the transformation of the graph y = x 2 in graphing y = -x 2 - 5?reflect over the x-axis and shift down 5reflect over the y-axis and shift down 5reflect over the x-axis and shift left 5

Answer 1

The parent function of the graph is,

`y=x^2`

The transformed image of the graph is,

`y_1=-x^2-5`

Let us sketch out the graph of both the parent function and the transformed function.

From the image above, the parent function, y=x² was first reflected over the y-axis. Therefore, the transformation resulted into y= -x² .

After that, it was now shifted down by 5 units, which now resulted into

`y=-x^2-5`

Hence, the correct answer is B(Second option), which is the parent function was reflected over the y-axis and shifted downward by 5 units.