Answer:
See below for a graph
Step-by-step explanation:
Let's call the parent function g(x) = log₅(x), which has a vertical asymptote at x=0, and goes through the points (1, 0), (5, 1), (25, 2).
Then this function is
... f(x) = g(2(x+6)) +2
That is, the function is horizontally compressed by a factor of 2, shifted left 6 units, and shifted up 2 units. This moves the points listed above to ...
... (-5.5, 2), (-3.5, 3), (6.5, 4)
The graph shows the parent function and the listed points in blue, then the transformed function and the corresponding points in red.
Answers: 0.08 and -0.08; 0.09i and -0.09i.
When taking square roots, we take the positive and negative answers. This gives us the first answer.
For the second answer, we rewrite -0.0081 as a complex number:
To answer this question you must first plug in the given value for x into your given expression.
Your given x value is a -3.
When plugged in, this leaves you with:
-3^2 + 4(-3) + 3
Next, follow PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction) to begin to simply your expression.
Start by multiplying the parenthesis, this leaves you with:
-3^2 - 12 + 3
After that, simplify your exponents by squaring the -3. You do this by multiplying it by itself.
This leaves you with:
9 - 12 + 3 (the 9 is positive because the two negative multiplied together cancelled to make a positive)
Finally, simplify across with addition and subtraction to get your final answer.
This results in:
0
So, when x = -3 in this expression, the answer is 0.
I hope this helps! :)
A. Looks right to me. It is a guess tho im too lazy. Is this a test? I hope not
