Determine the coordinates of the vertex for each quadratic function and whether the parabola has a maximum or minimum. 4. y = x² +6x-2

minimum, coordinates of vertex: (-3,-11)

explanation:

x coordinates on vertex:

solving steps:

Find y-coordinate on vertex:

coordinates: (-3,-11) thus minimum

vertex = (-3, -11)

minimum

Step-by-step explanation:

The vertex of a parabola is its turning point (stationary point).

Therefore, the x-coordinate of the vertex can be determined by differentiating the function, setting it zero and solving for x:

Substitute found value for x into the original function to find the y-coordinate:

Therefore, the vertex is (-3, -11)

As the leading term of the quadratic function () is positive, the parabola will open upwards, so the vertex is its minimum point.

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step-by-step explanation: