You solve for the domain by setting the radicand less than or equal to 0 and solving for x. Dividing by a -x, we switch the sign so we have that the domain is less than or equal to 0, or all negative numbers. We know that it breaks every law in math to have a negative radicand with an even index, so if the domain is all negative values of x, taking a negative of a negative gives us a positive. The negative sign OUTSIDE the radical means you are flipping the graph upside down. So instead of having a range of y is greater than or equal to 0 as does the parent graph, you have flipped it upside down so it heads more negative in regards to the range. Therefore, the domain and the range both have the same sign, thee last choice from above.
The red line is a reflection across the x-axis, so the correct option is d.
<h3>
How to write the equation for the red line?</h3>
First, we know that the black line is represented by y = f(x). Here, we can see that the red line is given by a reflection around the x-axis.
This reflection only changes the sign of the right side, then we get that the function of the red line is:
g(x) = -f(x)
Then we can write this as:
y = g(x) = -f(x) = -1*f(x)
If we divide both sides by -1, we get:
y/(-1) = f(x)
Like in option d, so that is the correct one.
If you want to learn more about reflections:
brainly.com/question/4289712
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Put the value of x = -1 to the equation of a function f(x):
These shapes are geometric, which means they're equal. XW would be the same as XY, which is 18. The same goes towards WZ. WZ = ZY, so it'll be 29. Remember, since it's geometric, each side has to equal each other
Answer:
yes
Step-by-step explanation:
The answer is yes because I need points to ask a question
