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.
Answer:
First option
Step-by-step explanation:
Have a nice day
Answer:
y = -2.5
Step-by-step explanation:
For such a problem as this, you can replace all sine or cosine functions with their midline value of 0. Then you have ...
f(x) = 0 -2.5
which simplifies to ...
f(x) = -2.5
You can leave the equation like this, or write it as ...
y = -2.5
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Perhaps you can see that the midline is the value of any constant added to a sine or cosine function.
Answer:
Step-by-step explanation:
the vale of x differs in each situation are we talking AB value