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Which of the following equations best describes a square root function that is reflected across the x-axis and has a vertex of (−4,2)?

A.
y=√(-(x-4)) +2

B.
y= -√(x+2)-4

C.
y=-√(x+4) +2

D.
y=-√(x-4) +2

User Anyah
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1 Answer

4 votes

Answer:

C

Explanation:

Rather than picking, let's try to construct one from the description.

reflected over the x axis means -
√(x)

the vertex is usually at (0,0), now how do we move a graph? or in other words translating it.

To move left and right you use
√(x-h) where if you subtract h you move right and if you add h you move left. we go from (0,0) to (-4,2). so 0 to -4 is 4 left, so that means we add 4.

To move up and down we use
√(x)+v Here if v is positive you move up and if v is negative you move down. going from (0,0) to (-4,2) it moves up 2

So now we put them all together
-√(x+4)+2 And if you look, C matches that exactly.

User Beach Boys
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