Question #d1dec

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Answer 1 · 2016-11-14T00:49:27

Write a system of equations with respect to $a$ $a$ and $k$ $k$ .

${(-20 = a(-2 - 1)^2 + k), (4 = a(2 - 1)^2 + k):}$

Solve equation 1 for $k$ .

$-20 = 9a + k -> k = -20 - 9a$

$4 = a - 20 - 9a$

$4 + 20 = -8a$

$24 = -8a$

$a = -3$

$k = -20 - 9a$

$k = -20 - 9(-3)$

$k = 7$

So, the vertex has coordinates of $(1, 7)$ .

Hopefully this helps!