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vichka [17]
2 years ago
11

I need to know what 11, 14, and 15 are I don't remember how to do it

Mathematics
1 answer:
almond37 [142]2 years ago
6 0

When you reflect a function in the <em>x</em>-axis, the first coordinate of a point stays the same, and the second coordinate changes sign (what was positive is now negative and vice versa).  See the attached picture.

Question 11:  f(x) = -5x + 2.  The function changes to its opposite, so g(x) = -(-5x + 2) = 5x - 2.

When you reflect a function in the <em>y</em>-axis, the first coordinate of a point changes to its opposite, but the second coordinate stays the same.  Replace  <em>x</em>  with  -<em>x</em> .

Question 14:  f(x) = |2x - 1| + 3.  Replacing <em>x</em> with -<em>x</em> produces  g(x) = |2(-x) - 1| + 3  which simplifies to  g(x) = |-2x -1| + 3.

Question 15 works the same way as #14.

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