The graph of g(x) is obtained by reflecting the graph of f(x)=2|x| over the x-axis.

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

4 0

Answer: Choice C)
g(x) = -|2x|

You get this answer by simply sticking a negative out front of the original function. In other words, g(x) = -f(x) or more technically, g(x) = -1*f(x).

The negative will flip every y coordinate from positive to negative (or vice versa)

You'll also use the idea that |2x| = 2|x|. The two can be pulled out since we can say |x*y| = |x|*|y|
So |2*x| = |2|*|x| = 2|x|

You might be interested in

Find X in the figure below.

Hitman42 [59]

<h3>Answer:</h3>

x = 3

<h3>Explanation:</h3>

The product of the lengths of segments from the intersection point to the circle is the same for both secants.

... 1×6 = 2×x

... 6/2 = x = 3 . . . . . divide by 2

_____

<em>Comment on secant geometry</em>

Interestingly, this relation is true whether the point of intersection of the secants is inside the circle or outside.