Questions: Which equation best matches the graph shown below?

Transcript text: Which equation best matches the graph shown below?

Solution

Step 1: Identify the Vertex of the Parabola

The vertex of the parabola is at the point \((-5, -3)\).

Step 2: Determine the Form of the Equation

The standard form of a parabola's equation is \(y = a(x - h)^2 + k\), where \((h, k)\) is the vertex. Here, \(h = -5\) and \(k = -3\).

Step 3: Match the Equation to the Given Options

Substitute \(h = -5\) and \(k = -3\) into the standard form to get \(y = (x + 5)^2 - 3\). This matches the first option.

The equation that best matches the graph is \(y = (x + 5)^2 - 3\).

Was this solution helpful?

Unhelpful

Helpful