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Q.2. If the line y=x is reflected over the x - axis and made flatter(less steep) by a factor of ½ then write the equation of the new line

Respuesta :

Using translation concepts, the equation of the new line is:

[tex]y = -\frac{1}{2}x[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

  • The function is reflected over the x-axis, hence it is multiplied by -1.
  • It is made flatter by a factor of 0.5, that is, it is multiplied by 1/2.

Hence the equation of the new line is:

[tex]y = -1 \times \frac{1}{2} \times x = -\frac{1}{2}x[/tex]

More can be learned about translation concepts at https://brainly.com/question/4521517

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