Question

Consider the given quadratic equations. Equations function it defines. Equation A y= 3x² - 6x + 21 Equation B y=3x² - 6x + 18 Equation C y= 3(x-1)2 +18 Equation Dy=3(x-1)² +21 Complete the following statement. equation. are equivalent , and of those, equation. is in the form most useful for identifying the extreme value of the function it define​

Answer 1

Equation A and equation C are equivalent , and of those, equation C is in the form most useful for identifying the extreme value of the function it define​s.

Evaluation of the quadratic expressions

The quadratic expressions can be simplified as follows;

• Equation A: y = 3x² - 6x + 21
• Equation C: y = 3(x - 1)² + 18

Equation C is simplified as follows;

y = 3(x - 1)² + 18

y = 3(x² - 2x + 1) + 18

y = 3x² - 6x + 3 + 18

y = 3x² - 6x + 21

Thus, equation A and equation C are equivalent , and of those, equation C is in the form most useful for identifying the extreme value of the function it define​s.

Learn more about quadratic equations here: brainly.com/question/1214333

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