Answered

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The line with equation y = 2 x + 3 is reflected in the x -axis. Which of the following is the equation of the new line?

Sagot :

Answer:

The equation of the new line is [tex]y = -2x - 3[/tex]

Step-by-step explanation:

Reflecting a function over the x-axis:

Suppose we have a function y = f(x)

Suppose y' is the function y, reflected over the x-axis. Their relation is:

y' = -y

In this question:

Line with equation [tex]y = 2x + 3[/tex]

Reflection over the x-axis:

We have that:

[tex]y = -(2x + 3) = -2x - 3[/tex]

The equation of the new line is [tex]y = -2x - 3[/tex]

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