Please helpppp its due nowwwww
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Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
<em>Comment:</em> The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit <u>larger</u> than 4. g(5) = |5 - 1| = 4.
For this case we have the following expression:
We must rewrite both sides of the equation.
For this, we use the distributive property.
We have then:
Adding similar terms we have:
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Thus, the equation has infinite solutions.
Answer:
infinitely many