Question

The graph of a parabola is given. Match each graph to its equation.

Short answer

The equation of a graph will be :

${\left(x+1\right)}^2=4\left(y+1\right)$.

Step-by-step solution

Step 1. Given Information.

The given graph is

Step 2. The equation of an graph.

The vertex of an equation is $\left(-1,-1\right)$and its focus is $\left(-1,0\right)$. The axis of symmetry is $x=-1$and its equation of an directix is $y=-2$.

So, the equation of a graph is

${\left(x+1\right)}^2=4\left(y+1\right)$.