Answer: C) All real values of x such that
In other words, x must be 0 or smaller.
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Explanation:
The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.
So,
As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.
But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.
Answer : option B
Parent Graph f(x) = is attached below
We analyze each option
A) f(x − 2) --> x - 2 shifts the graph 2 units to the right
B) f(x + 2) --> x + 2 shifts the graph 2 units to the left
C) f(x) − 2 --> f(x) - 2 shifts the graph 2 units down
D) f(x) + 2 --> f(x) + 2 shifts the graph 2 units up
In the graph of f(x)= , the x intercept at x=1
From the graph attached in the question, the x intercept at x=-1
Its means the parent graph is shifted 2 units to the left.
Option B: f(x + 2) --> x + 2 shifts the graph 2 units to the left
