Find f. f ''(x) = −2 + 24x − 12x2, f(0) = 4, f '(0) = 18
1 answer:
You might be interested in
Answer:
The coordinates of the vertex are (-5, 41)
Step-by-step explanation:
For a quadratic function of the form
Where a, b and c are constants and represent the coefficients of the function, then the symmetry of the parabola always passes through its vertex.
In this case we have the following parabola
And we know that its axis of symmetry is the line
Then we know that this axis of symmetry passes through the vertex of the parabola.
Therefore, the x coordinate of the vertex is -5.
To find the coordinate in y of the vertex, we substitute x = -5 in the function.
Finally, the vertices are in the point (-5, 41).