which of the following describes the graph of y= sqrt -4x-36 compared to the parent square root function?
2 answers:
Answer:
Please see attached graph for answer.
Step-by-step explanation:
We can easily solve this question by plotting the graphs of both functions in a graphing calculator.
We have
y = √(-4x-36)
y = √(-4(x+9))
g = √(x)
We can see that the function y corresponds to a mirrored version of function g. Each x is scaled by a factor of -4, and shifted to the left in 9 units
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is already in simplest form.
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Base of the exponential equation should be (-1).
And finally the product or result should also be a negative number.
Let us take a variable for n natural numbers.
(Note: All positive whole numbers are called natural numbers that is 1,2,3,4,5,....).
In order to get the expression, we need to find the expession for odd natural numbers.
We know,
The expession for odd natural numbers is given by = 2n-1.
Where n= 1,2,3,4,5...
If we have an odd exponent of a negative number, it always gives a negative number.
We got, base = -1 ( a negative number) and
exponent = (2n-1) ........... expression for odd number.
Therefore, we could write final exponential expression that would give a negative for all natural numbers.