Question

MARKING BRAINLIEST Which represents the reflection of f(x) = √x over the x-axis?

Answer 1

Answer:

Step-by-step explanation:

f(x) = √x

so f(x) is not valid if x<0

if g(x) is reflection of f(x), then g(x) = -f(x) = -√x

x=-1, g(-1) is not valid / undefined

x=0, g(0) = -√0 = 0

x=1, g(1) = -√1 = -1

x=4, g(4) = -√4 = -2

So the answer is the first table. None of the other choices is correct.

Answer 2

Answer:

Table1  

-1     undefined since we cannot take the sqrt of a negative number

0     0

1      -1

4   -2

Step-by-step explanation:

f(x) = sqrt(x)

A reflection over the x axis is-f(x)

g(x) = -sqrt(x)

x     -sqrt(x)

-1     undefined since we cannot take the sqrt of a negative number

0     0

1      -1

4   -2