Answer:
Option 3
Step-by-step 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 [tex]y=x^2[/tex]
by a vertical shift of 1 unit down.
So new equation after transformation would be
[tex]y+1=x^2[/tex]
Or[tex]y=x^2-1[/tex]
Hence option 3 is right choice.
Verify:
Put Solving the equation we get
[tex]x^2=1[/tex]
[tex]x=±1[/tex]
In the graph x intercepts are the same as -1 and 1
Hence our answer is right.
