How do you find the vertex of $y = x^2 + 2x - 3$ ?

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Answer 1 · 2017-01-23T22:04:06

When given an equation of a parabola, $y(x) = ax^2 + bx + c$ , the x coordinate of the vertex, $h = -b/(2a)$ , and the y coordinate, $k = y(h)$

For the given equation, $a = 1, b = 2, and c = -3$

The x coordinate is:

$h = -b/(2a)$

$h = -2/(2(1))$

$h = -1$

The y coordinate is:

$k = y(-1)$

$k = (-1)^2 + 2(-1) - 3$

$k = -4$

The vertex is the point $(-1,-4)$

How do you find the vertex of y = x^2 + 2x - 3y = x^2 + 2x - 3?