Q1. - Algebra 1

Question

What is the vertex of the parabola graphed below?

$$\begin{gathered} A\left(2,0\right) \\ B\left(0,2\right) \\ C\left(-\mathbf{2}\mathbf{,}\mathbf{2}\right) \\ D\left(\mathbf{2}\mathbf{,}-\mathbf{2}\right) \end{gathered}$$

Step-by-Step Solution

Answer

Vertex of the given parabola is $\left(\mathbf{2}\mathbf{,}-\mathbf{2}\right)$.

Step 1. Define vertex.

The only point at which the axis of symmetry intersects intersect a parabola is called the vertex.

Step 2. Observe the figure.

Observe the figure and mark the axis of symmetry and vertex of a parabola.

Step 3. Write a conclusion.

As the parabola opens upward, the vertex is located at the minimum point of the parabola. It is located at $\left(2,-2\right)$. As option D completely matches with the obtained answer, option D is the required answer.