SOLUTION: write the equation of the axis of symetry and find the coodinates. identify the vetext as a maximum or miumum y=3x^2-6x-4

Question 47865: write the equation of the axis of symetry and find the coodinates. identify the vetext as a maximum or miumum

y=3x^2-6x-4
Found 2 solutions by Nate, stanbon:
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
y = 3x^2 - 6x - 4
v(-b/2a,f(x))
Since the parabola is vertical, the Axis of Symmetry is:

Since the value of is positive, the parabola opens upwards. The vertex is a minimum.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
write the equation of the axis of symetry and find the coodinates. identify the vetext as a maximum or miumum

y=3x^2-6x-4
Put this in the form (x-h)^2 = 4p(y-k) by completing the square, as follows:
y+4+3=3(x^2-2x+1)
y+7=3(x-1)^2
(x-1)^2=(1/3)(y+7)
Axis of symmetry: x=1
Vertex (1,-7) is a minimum

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=84 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.52752523165195, -0.527525231651947. Here's your graph:

Cheers,
Stan H.
RELATED QUESTIONS
1.)F(x)= 2/x+4 -4 How do i find the x intercepts, y coodinates, equation for the axis of (answered by josgarithmetic)
Find the equation of the axis of symetry for the graph of {{{ y=x^2-3x+2 }}}, and state... (answered by checkley71,jim_thompson5910)
use a table to graph they function y=x^2 - 4 +3 ho do u graph it including (answered by Nate)
Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the... (answered by ewatrrr)
Find the vertex, the line of symetry, and the maximum/minimum value of f(x). Graphe the... (answered by htmentor)
how do you find the vertex and the axis of symetry of:... (answered by jim_thompson5910)
Identify the maximum or minimum (vertex), zeros, and axis of symmetry line and show the... (answered by ewatrrr)
the first problem is: Write the equation of the axis of symmetry and find the... (answered by stanbon)
find the vertex, the line of symetry, and the maximum or minimum value of f(x). graph... (answered by Edwin McCravy)