Answered

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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

Sagot :

The parent function of the graph is,

[tex]y=x^2[/tex]

The transformed image of the graph is,

[tex]y_1=-x^2-5[/tex]

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

[tex]y=-x^2-5[/tex]

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.

View image AzoriU727509
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