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bezimeni [28]
3 years ago
9

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=\sqrt{-(x-4)} +2

B. y= -\sqrt{x+2}-4

C. y=-\sqrt{x+4} +2

D. y=-\sqrt{x-4} +2
Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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

reflected over the x axis means -\sqrt{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 \sqrt{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 \sqrt{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 -\sqrt{x+4}+2  And if you look, C matches that exactly.

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