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B11 (adv)
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Saved by PBworks
on March 8, 2007 at 8:35:38 pm
Outcome: B11 (adv) analyse the quadratic formula to connect its components to the graphs of quadratic functions.
Explanation: The quadratic formula is derived from the function
y=ax
And if the discriminate is < 0 you have 0 real roots.
The + - in the quadratic formula is there so that you can get both possible roots.Its there becuase when you took the the squar root of each side of the equation, it could be ethier positive or negitive numbers squared.
Quadratic Formula!
Sample Promblem
Question
Given the function.
State the discriminate, and find the roots using the quadratic formula
Solution
b^2-4ac
(-32)-4(2)(128)
1024-1024
0
Therfor you have 1 double real root.
Find the roots using the Quadratic Forumla!
2+bx+c. As long as your function can be put in general form, you can use the quadratic formula to find its roots and discriminate.The roots allow us to see where the function passes throught the x-intercept if it does at all. The roots can ethier be real or complex numbers. The discriminate (b^2-4ac) lets us see how many x-intercepts were dealing with. If the discriminate is > 0 the function will have 2 real roots. If the discriminate is = 0 then you have one real root.
B11 (adv)
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