Use the graph of y=f(x) to graph the given function.

See attached image

Step-by-step explanation:

The transformation you are being asked involves the reflection of the graph of the function around the x axis. Therefore, start by graphing the dots that are the segment ends of the new transformed function at exactly the mirror distance from the x-axis that the original points have.

Make sure also that the dot that is an open circle is reflected as an open circle as well, and those that are a solid dot remain solid dots after the translation (reflection).

The new graph for the given transformation is shown in red in the image attached.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

hi there!

the answer will be d: 2