Question

Graph y = -­4x2 ­- 2 and its inverse

Answer 1

The function and it's inverse are graphed in the attached diagram.

For y -intercept is
`x=0`. This implies


`y=-4(0)^2-2`


`y=0-2`


`y=-2`

For x-intercept,
`y=0`, This means that,


`0=-4x^2-2`


`-(1)/(2)=x^2`

The above equation tells us that, the above equation has no real roots. Hence the graph has no x-intercept.

Also the value
`a=-4<0`, tells us the graph is a maximum graph.

THE INVERSE OF y


`y=-4x^2-2`

Interchange x and y.


`x=-4y^2-2`

Make y the subject to obtain,


`y^(-1)=\pm (√(-x-2))/(2)`.

for x<-2.

You can now find the intercepts, with some few points to graph the inverse.