Question

Tell whether the function has a maximum value or a minimum value.
find the value.

Answer 1

Answer: Minimum - (1, -2)

Explanation:

The leading coefficient (constant with the highest exponent) of the function is positive 3 so the graph must open upward (looks like a U). This means the vertex (point of the parabola) must be the minimum. To find the minimum value, use the formula x = -b / 2a.

x = -(-6) / 2(3)

x = 1

To find the y-value of the minimum, plug the x-value (1) back into the original function and solve.

You should get -2.