Question

How do you find the vertex and the intercepts for `y= -x^2 -3`?

Answer 1

`"see explanation"`

Explanation:

`"for a quadratic in the form "y=ax^2+c`

`"the vertex is "(0,c)`

`"here "c=-3`

`color(magenta)"vertex "=(0,-3)`

`"since "a<0" it is a maximum"`

`"for intercepts let y = 0"`

`-x^2-3=0rArrx^2=-3`

`"this has no real solutions hence no x-intercepts"`
graph{-x^2-3 [-10, 10, -5, 5]}