Answer:
g(x) = |x| -9
Step-by-step explanation:
In the form ...
g(x) = a|x -h| +k
the parameters are ...
- a: the vertical scale factor (1)
- h: the right shift of the vertex (0)
- k: the upward shift of the vertex (-9)
The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).
Then the translated function is ...
g(x) = |x| -9
Multiply the denominator by the whole number. Make that product the numerator. Let us now revisit the rule for changing a mixed number to an improper fraction<span> (Lesson 20).</span>
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Answer:
A. z increased by 8
Step-by-step explanation:
When a positive value is added, the original value (z) is <em>increased</em>.
z + 8 ⇔ z increased by 8
