Share
Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value. f(x
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
in progress
0
Mathematics
3 years
2021-07-31T19:23:14+00:00
2021-07-31T19:23:14+00:00 1 Answers
23 views
0
Answers ( )
Answer:
(-1, -6)
Step-by-step 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