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23.01.2020 •
Mathematics
Which function represents the reflection over the x-axis of f(x) = startroot x endroot?
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Ответ:
Step-by-step explanation:
The given function is
As you can notice the equation belongs to a radical function, which graph is half of a horizontal parabola.
The graph of this parent function is in the first quadrant. That means its reflection over the x-axis means it will move it to the fourth quadrant. In other words, to every positive x-value, there would be a negative y-value.
Therefore, the right answer is the last image, the second table, because it shows this pattern.
Ответ:
The function which represents the reflection over x-axis is the attached graph.
Step-by-step explanation:
Given that![f(x)=\sqrt{x}](/tpl/images/0467/7137/a146e.png)
To reflect a function over x-axis, we need to multiply the function by -1.
Thus, to reflect f(x) over x-axis, multiply f(x) by -1.
Thus, the new function g(x) is given by
For
⇒![g(x)=0](/tpl/images/0467/7137/683f1.png)
For
⇒![g(x)=-1.41](/tpl/images/0467/7137/44d23.png)
For
⇒![g(x)=-2](/tpl/images/0467/7137/58b17.png)
Thus, the reflection of f(x) over x-axis is![g(x)=-\sqrt{x}](/tpl/images/0467/7137/ebe69.png)
Ответ: