If the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola, find an equation for the parabola. Write your answer in the form () = ( − ℎ)2 + .

Step-by-step explanation:

W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form .  

We know that vertex form of parabola in form , where (h,k) in vertex of parabola.  

Upon substituting coordinates of vertex, we will get:

To find the value of a, we will substitute coordinates of point (0, -1) as:

Therefore, our required equation would be .

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