The graph below belongs to which function family?

The graph shown in the diagram belongs to the family of absolute function value.

The parent function has the graph (red graph in attached diagram).

Reflect this graph across the x-axis and translate 3 units up to get given graph (see blue graph in attached diagram). The function rule will be

correct choice is D.

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.

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