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f(x) = 2x³ - 6x² - 48x + 24

relative minimum: (4,-136)

relative maximum: (-2,80)

answer is the second option

Hey there! :)

2nd option: (4, -136) is a relative minimum, (-2, 80) is a relative maximum.

Step-by-step explanation:

To begin, we can graph this equation (pictured on bottom of answer)

Relative minimums/maximums are the minimums and maximums of turning points of the graph. Observing the graph, we can see that:

(-2, 80) is a relative maximum because this is the maximum value at a turning point.

(4, -136) is a relative minimum because this is the minimum value at a turning point.

do i do it on a graph?

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .