Question

which of the following points represents the vertex of the parabola 1?

a. (-3, 0)
b. (3, 0)
c. (0, -3)
d. (0, 3)

Explanation:

Identify the vertex from the graph

Using the Vertex of Quadratic Function knowledge point, we locate the lowest point (the vertex) of the given parabola 1 on the coordinate plane. Looking at the graph, the curve reaches its minimum point on the y-axis. This point is located at \(x = 0\) and \(y = -3\). Therefore, the coordinates of the vertex of parabola 1 are \((0, -3)\).

Match with the given options

We compare the identified vertex coordinates \((0, -3)\) with the multiple-choice options:

• Option a: \((-3, 0)\)
• Option b: \((3, 0)\)
• Option c: \((0, -3)\)
• Option d: \((0, 3)\)

The correct option is c.

Answer:

• a. (-3, 0)
• b. (3, 0)
• c. (0, -3) (Correct answer)
• d. (0, 3)