Question

The graph of y=x²-3 is reflected

in the x-axis to give graph B.
What is the equation of graph B?

Answer 1

y = -x² +3

Explanation:

You want the equation of the graph of y = x² -3 after it has been reflected in the x-axis.

Reflection in x

Reflection in the x-axis is accomplished by changing the sign of the y-coordinates of any points. (x, y) ⇒ (x, -y).

Here, -y is ...

y = x² -3

-y = -(x² -3) = -x² +3

The equation of graph B is y = -x² +3.

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