# How do you graph the function, label the vertex, axis of symmetry, and x-intercepts. y= -2x^2 - 5x +7?

$y = - 2 {x}^{2} - 5 x + 7$
Axis of symmetry: $x = - \frac{b}{2} a = - \frac{5}{4}$
Coordinate of vertex: $x = - \frac{5}{4} \mathmr{and} y = f \left(- \frac{5}{4}\right) = \frac{25}{8} + \frac{56}{8} = \frac{81}{8}$
To get x-intercepts: solve $y = - 2 {x}^{2} - 5 x + 7 = 0.$