SOLUTION: Problem. Identify the axis of symmetry, create a suitable table of values and sketch the graph. The problem is y=x^2-5x+3. I've identified the axis of symmetry as 5/2 but I am h

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Question 105586: Problem. Identify the axis of symmetry, create a suitable table of values and sketch the graph. The problem is y=x^2-5x+3. I've identified the axis of symmetry as 5/2 but I am having difficulty creating the table of values. Any assistance would be greatly appreciated.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

the axis of symmetry is draw the line perpendicular on passing thruogh this point

table:
|
| _________ if => then =>
| _________ if => then =>
| _________ if => then =>
:
:
:and so on


Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=13 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4.30277563773199, 0.697224362268005. Here's your graph:
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