What is the axis of symmetry and vertex for the graph $y = x^{2} + 2 x - 5$ $y=x^2 +2x -5$ ?

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Answer 1 · 2017-07-05T16:46:16

See explanation.

To calculate the vertex of a parabola you use the following formulas:

$p = \frac{- b}{2 a}$ $p=(-b)/(2a)$

and

where

Here we have:

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

$Delta=(2)^2-4*1*(-5)=4+20=24$

$q=-24/4=-6$

The axis of symetry of a parabola is $x=p$ . Here it is: $x=-1$

Answer:
The vertex is $V=(-1,-6)$ . The axis of symetry: $x=-1$