Which function represents the reflection over the x-axis of f(x) = startroot x endroot?

The function which represents the reflection over x-axis is the attached graph.

Step-by-step explanation:

Given that

To reflect a function over x-axis, we need to multiply the function by -1.

Thus, to reflect f(x) over x-axis, multiply f(x) by -1.

Thus, the new function g(x) is given by

For ⇒

For ⇒

For ⇒

Thus, the reflection of f(x) over x-axis is

Step-by-step explanation:

The given function is

As you can notice the equation belongs to a radical function, which graph is half of a horizontal parabola.

The graph of this parent function is in the first quadrant. That means its reflection over the x-axis means it will move it to the fourth quadrant. In other words, to every positive x-value, there would be a negative y-value.

Therefore, the right answer is the last image, the second table, because it shows this pattern.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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