# How do you write  y=2x^2+4x-5 in vertex form and identify the vertex, y intercept and x intercept?

$y = 2 {x}^{2} + 4 x - 5$
x of vertex: $x = \left(- \frac{b}{2} a\right) = - \frac{4}{4} = - 1$
y of vertex: $y = f \left(- 1\right) = 2 - 4 - 5 = - 7$
Vertex form: $f \left(x\right) = 2 {\left(x + 1\right)}^{2} - 7$