Question #32b3c

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Answer 1 · 2017-02-24T17:00:19

$y = 5x^2 + 20x + 17$

$y = ax^2 + bx + c$

$a(-1)^2 + b(-1) + c = 2$

$x_V = -2 = -b/(2a)$

$y_V = -3 = - Delta / (4a)$

$b = 4a$

$3 = ((4a)^2 - 4ac)/(4a) Rightarrow 3 = 4a - c Rightarrow c = 4a - 3$

$a -b + c = 2$

$a - 4a + 4a - 3 = 2 Rightarrow a = 5$

$b = 4*5, c = 4*5 - 3$