SOLUTION: I need help finding the vertex I have tried and tried to help come up with the answer but I am having issues thank you. F(X)3x^2 - 12x + 4

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I need help finding the vertex I have tried and tried to help come up with the answer but I am having issues thank you. F(X)3x^2 - 12x + 4      Log On


   

Question 378633: I need help finding the vertex I have tried and tried to help come up with the answer but I am having issues thank you.
F(X)3x^2 - 12x + 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

In order to find the vertex, we first need to find the x-coordinate of the vertex.


To find the x-coordinate of the vertex, use this formula: x=%28-b%29%2F%282a%29.


x=%28-b%29%2F%282a%29 Start with the given formula.


From y=3x%5E2-12x%2B4, we can see that a=3, b=-12, and c=4.


x=%28-%28-12%29%29%2F%282%283%29%29 Plug in a=3 and b=-12.


x=%2812%29%2F%282%283%29%29 Negate -12 to get 12.


x=%2812%29%2F%286%29 Multiply 2 and 3 to get 6.


x=2 Divide.


So the x-coordinate of the vertex is x=2. Note: this means that the axis of symmetry is also x=2.


Now that we know the x-coordinate of the vertex, we can use it to find the y-coordinate of the vertex.


y=3x%5E2-12x%2B4 Start with the given equation.


y=3%282%29%5E2-12%282%29%2B4 Plug in x=2.


y=3%284%29-12%282%29%2B4 Square 2 to get 4.


y=12-12%282%29%2B4 Multiply 3 and 4 to get 12.


y=12-24%2B4 Multiply -12 and 2 to get -24.


y=-8 Combine like terms.


So the y-coordinate of the vertex is y=-8.


So the vertex is .


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim