SOLUTION: f(x)=-x^2+12x+3 find the vertex(ordered pair): find line of symmetry: maximum/minimum of f(x) is: the value f(6)=39 is which of the following maximum or minimum:

Question 259276: f(x)=-x^2+12x+3
find the vertex(ordered pair):
find line of symmetry:
maximum/minimum of f(x) is:
the value f(6)=39 is which of the following maximum or minimum:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
f(x)=-x^2+12x+3
you seem to repeat yourself.
The vertex is the max/min. This one has a max at (6,39) which is f(6)=39
so that is three times you ask for the vertex and/or max
All parabolas are symmetric with respect to a line called the axis of symmetry. A parabola intersects its axis of symmetry at a point called the vertex of the parabola.
so that makes four times
The graph doesn't show it well but the peak (vertex is off to the right at 6,39
with x=6 the line of symmetry

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=156 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.244997998398398, 12.2449979983984. Here's your graph:

RELATED QUESTIONS
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by Earlsdon)

Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by Earlsdon)

Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph... (answered by ewatrrr)

Find the vertex, the line of symmetry, the maximum or minimum value of f(x), and graph... (answered by stanbon)

Graph the Function. Find the vertex, line of symmetry, and maximum or minimum value. (answered by lwsshak3)

Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).... (answered by jim_thompson5910)

Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph... (answered by ewatrrr)

find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph... (answered by ewatrrr)