SOLUTION: This is 1 question iwth different parts pelase help thank you Find the vertex, line of symmetry, maximum or minimum value of the quadratic function and graph the function. f(x)=

Algebra ->  Graphs -> SOLUTION: This is 1 question iwth different parts pelase help thank you Find the vertex, line of symmetry, maximum or minimum value of the quadratic function and graph the function. f(x)=      Log On


   

Question 176167: This is 1 question iwth different parts pelase help
thank you
Find the vertex, line of symmetry, maximum or minimum value of the quadratic function and graph the function.
f(x)=2x^2-20x+53
vertex is
(type an ordered pair)
What is the line of symmetry
The max/min value of f(x) is
Is the value, f(5)=3 a min or max
Found 2 solutions by Mathtut, solver91311:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets complete the square
:
2x%5E2-20x%2B53given
:
2%28x%5E2-10x%29%2B53
:
2%28x%5E2-10x%2B25%29%2B53-50
:
2%28x-5%29%5E2%2B3
:
so vertex is at (5,3)
:
line of symmetry is x=5
:
minimum is at y=3
:
yes, f(5)=3 is a minimum
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2%28x-5%29%5E2%2B3%29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the answer to 176168. http://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.176168.html