Question

Consider the graph of the quadratic function y = –2(x + 2)2 – 1 with no real zeros. What number can be added to the right side of the equation to change it to a function with one real root?

Answer 1

1

Explanation:

Answer 2

The number is +1

Explanation:

we have

`y=-2(x+2)^2-1`

This is the equation of a vertical parabola with vertex at point (-2,-1)

The function has no real zeros

we know that

If the number +1 is added to the equation on the right side

then

`y=-2(x+2)^2-1+1` ------->
`y=-2(x+2)^2`

Is a translation one unit up

The vertex of the parabola will be the point (-2,0) and the function will have one real root

see the attached figure to better understand the problem