Question 626359: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
F(x)=3x^2-12x+3
What is the vertex?______
What is the equation of the line of symmetry?________
What is the maximum/minimum of f(x)?_________
Is the value, f(2)= -9 a minimum or a maximum?
Please graph. Thank you!
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
F(x)=3x^2-12x+3
Complete the square
F(x)=3(x^2-4x+4)+3-12
F(x)=3(x-2)^2-9
This is an equation of a parabola that opens upwards (curve has a minimum)
Its standard form of equation: y=(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex
..
What is the vertex? (2,-9)
What is the equation of the line of symmetry? x=2
What is the minimum of f(x)? -9
The value, f(2)= -9 is a minimum
See graph below:
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