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Mohamed Ali · Answer 1 · 2020-02-09T18:41:08+0000

ANSWER

(-3,3)

EXPLANATION

The given function is

y + 2x + 3 = - (x + 2) ^(2) + 1

Expand

Rewrite in the form:

$y =a {x}^(2) + bx + c$

This implies that,

y = - x ^(2) - 4x - 2 x - 4 + 1 - 3

$y = - {x}^(2) - 6x - 6$

Complete the square to get,

$y = - ( {x}^(2) + 6x) - 6$

$y = - ( {x}^(2) + 6x + {(3)}^(2) ) - - {(3)}^(2) - 6$

$y = - {(x + 3)}^(2) +9 - 6$

$y = - {(x + 3)}^(2) +3$

The function is now in the form:

$y = a {(x - h)}^(2) +k$

where (h,k) =(-3,3) is the vertex

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