SOLUTION: Solve:
For the function given by f(x)= 2x^2 - 12x + 23. First find the vertex and the axis of symmetry, then graph the function
Algebra.Com
Question 264817: Solve:
For the function given by f(x)= 2x^2 - 12x + 23. First find the vertex and the axis of symmetry, then graph the function
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For the function given by f(x)= 2x^2 - 12x + 23. First find the vertex and the axis of symmetry, then graph the function
-------------------
Put in vertex form by completing the square:
f(x)= 2x^2 - 12x + 23
Rearrange:
2x^2 - 12x = y-23
2(x^2 - 6x + ?) = y-23 + 2?
2(x^2-6x+9) = y-23+18
2(x-3)^2 = y-5
---
Vertex: (3,5)
Axis of symmetry: x = 3
-----
--------------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
Find the y-intercept,the equation of the axis of symmetry, and the x-coordinate of the... (answered by MathLover1)
find the equation of the axis of symmetry and the coordinates of the vertex of the graph... (answered by mathsteacher)
f(x)= -2x^2+4x+1
Find the vertex and axis of symmetry of the graph of the... (answered by funmath)
f(x)=-x^2-2x+7
find the vertex and axis of symmetry and graph the... (answered by checkley77)
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by Alan3354,ewatrrr)
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by ewatrrr)
Please help me find the vertex and axis of symmetry and graph the function of:... (answered by Alan3354)
Find the vertex axis of symmetry (XS) max or min function value X-intercepts Y intercept... (answered by stanbon)
For the given function, (a) determine whether the graph opens upward or downward, (b)... (answered by Fombitz)