Question

Which equation could be solved using the graph above?

Answer 1

Option 3

Explanation:

we are given the graph of a parabola

with vertex at (0,-1) and symmetrical about y axis and also open up.

Hence the equation of the graph would be transformation of
`y=x^2`

by a vertical shift of 1 unit down.

So new equation after transformation would be

`y+1=x^2`

Or
`y=x^2-1`

Hence option 3 is right choice.

Verify:

Put Solving the equation we get

`x^2=1`

`x=±1`

In the graph x intercepts are the same as -1 and 1

Hence our answer is right.