Given the function h of x equals negative 2 times the square root of x, which statement is true about h(x)?
1 answer:
Using translation concepts, it is found that the correct statement about h(x) is:
The function is decreasing on the interval (0, ∞).
<h3>What is a translation?</h3>A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
Which is increasing on (0, ∞).
After the translation, the function is:
It was multiplied by a negative number, which means that it was reflected over the x-axis, and it will be decreasing on the interval (0, ∞).
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
Step-by-step explanation:
Vertical lines take the form of and horizontal lines take the form of
Why is this? Notice that whenever you make a horizontal line on a graph and select virtually any point that's on that line, all of the points you pick will have the same y value. Try to imagine the same thing with a vertical line, are the results the same?
So the line (we got -12 from the coordinate that was given to us on the question prompt) is a vertical line that passes through virtually all possible y values (from positive infinity to negative infinity, or vice-versa) which means that the question prompt having given us the y value was negligible.
Good luck!