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Triangles DEF and D′E′F′ are shown on the coordinate plane below:

Triangle DEF and triangle D prime E prime F prime with ordered pairs at D negative 1, 6, at E 1, 3, at F 6, 3, at D prime negative 6, negative 1, at E prime negative 3, 1, at F prime negative 3, 6.

What rotation was applied to triangle DEF to create triangle D′E′F′?

90° counterclockwise
90° clockwise
None of the above
180°

90 degrees counterclockwise

Step-by-step explanation:

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.