Find the Quadratic Function with Minimum Point (-2,0): Parabola Identification

To solve the problem, we need to write the equation of a parabola with the given vertex.

Step 1: Identify the form of the equation. For a parabola with vertex $(h, k)$, the equation is $y = (x - h)^2 + k$.

Step 2: Plug in the coordinates of the vertex. Here, the vertex is $(-2, 0)$, so $h = -2$ and $k = 0$.

Step 3: Substitute into the vertex form:

• Replace $h = -2$ and $k = 0$ into the equation:
• $y = (x - (-2))^2 + 0$

Step 4: Simplify the equation.

This results in:

• $y = (x + 2)^2$.

Therefore, the function corresponding to the given parabola is $y = (x + 2)^2$.