Consider the given quadratic equations. Equation A Equation B Equation C Equation D y = 3x2 − 6x + 21 y = 3x2 − 6x + 18 y = 3(x − 1)2 + 18 y = 3(x − 1)2 + 21 Complete the following statement. Equations are equivalent, and of those, equation is in the form most useful for identifying the extreme value of the function it defines.
Accepted Solution
A:
Answer: Equations A and C are equivalent, and of those, equation C is in the form most useful ...Step-by-step explanation:In standard form, the equations are ...Equation A: y = 3x² -6x +21Equation B: y = 3x² -6x +18Equation C: y = 3x² -6x +21 . . . . equivalent to AEquation D: y = 3x² -6x +24__Equation C is in vertex form, so the vertex (extreme value) can be read directly from the equation. It is (x, y) = (1, 18).Equations A and C are equivalent; equation C is most useful for finding the vertex.