Question

On the graph below, which dotted line represents a reflection across the x-axis of the red-solid-line graph?5 stars for quicknessplease look at png 1 is question 2 is answer

Answer 1

Hello!

The rule for a reflection across the x-axis is:

`(x,y)=(x,-y)`

Knowing it, let's write some points that the red line passes through:

(-2, 0) and (0, 4).

Now, let's use this rule and change the sign of the y coordinate:

• (-2, 0) → (-2, 0) because +0 or -0 doesn't exist.

,

• (0, 4) → (0, -4)

Let's analyze it and find a line that passes through these two points:

(-2, 0) and (0, -4)

It will be the blue line.