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Write the equation of a quadratic function with roots at -4 and -2, and a vertex at (-3, 1).
Write the equation in standard form.

Sagot :

Answer:

y = -x² - 6x - 8

Step-by-step explanation:

ax² + bx + c = 0

Root -4: 16a - 4b + c = 0   ...(1)

Root -2: 4a - 2b + c = 0   ...(2)

vertex(-3,1): 9a - 3b + c = 1   ...(3)

(1)-(2): 12a - 2b = 0         6a - b = 0          b = 6a   ...(4)

(3)-(2): 5a - b = 1       5a - 6a = 1               a = -1

                                                                 b = -6

(2): 4*(-1) - 2*(-6) + c = 0                           c = -8

Equation: y = -x² - 6x - 8  

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