Question

Determine, without​ graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value.

f(x)=6x^2+12x

Answer 1

(-1, -6)

Explanation:

This a term in this function is not negative, which would make it be flipped over the x-axis. Therefore this function takes the typical parabola shape, and it will have a minimum point.

To find the x-value of the minimum use the formula -b / 2a.

-12 / 2(6) = -1

Then plug in the x-value and find the y-value for this function

f(-1) = 6(-1)^2 + 12(-1) = -6