Which equation has a graph that is a parabola with a vertex at (-1, -1)?
Solution:
The general equation of the parabola is given by
y = a(x - h)2 + k
Where, (h,k) is the vertex
Given, vertex of a parabola is (-1, -1)
So, a = 1, h = -1 and k = -1
y = 1(x- (-1))2 - 1
y = (x + 1)2 - 1
Therefore, the equation of parabola is y = (x + 1)2 - 1.
Which equation has a graph that is a parabola with a vertex at (-1, -1)?
Summary:
The equation of a parabola with a vertex at (-1, -1) is y = (x +1)2 - 1.