Algebra-1

Let’s go through the steps to determine the equation of the graph.

1.Characteristics of the Parabola:

It opens upwards, meaning the coefficient of ( ) in the quadratic equation is positive.

The vertex (minimum point) is at (3, -7).

 

2.Using the Vertex Formula:

The vertex of a parabola represented by the standard form can be found using:

For our vertex 3, -7, we know h = 3.

 

3.Evaluating Each Option:

A.

Calculate the vertex:

Plugging in x = 3:

 

B. 

Calculate the vertex:

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