Find and Simplify F (X + H) $$f ( x ) = - 3 x ^ { 2 } + 2 x + 1$$

question 37

Multiple Choice

Find and simplify f (x + h) .
- $$f ( x ) = - 3 x ^ { 2 } + 2 x + 1$$

• A) \(- 3 x ^ { 2 } 2 x h + h ^ { 2 } + 2 x + 2 h + 1\)
• B) \(- 3 x ^ { 2 } - 3 h ^ { 2 } + 2 x + 2 h + 1\)
• C) \(- 3 x ^ { 2 } - 6 x h - 3 h ^ { 2 } + 2 x + 2 h + 1\)
• D) \(- 3 x ^ { 2 } - 3 h ^ { 2 } + 2 x h + 1\)

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Definitions:

Long-Day Plant

A plant that flowers in response to shortening nights; also called short-night plant. Compare with short-day, intermediate-day, and day-neutral plants.

Critical Period

A specific time in an organism's development when it is particularly sensitive to certain environmental stimuli or experiences, which can have long-lasting effects on its future behavior and development.

Short-Day Plant

A plant that flowers in response to lengthening nights; also called long-night plant. Compare with long-day, intermediate-day, and day-neutral plants.

Cucumber

A widely cultivated plant in the gourd family, Cucurbitaceae, known for its elongated green fruit typically consumed as a vegetable.