SOLUTION: 4. Determine the quadratic function,f(x)=ax˛+bx+c , whose vertex is (1, -2) and passes through the point (-1, -22). Please show all of your work.
I appreciate any help! Thanks!
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Question 466656: 4. Determine the quadratic function,f(x)=ax˛+bx+c , whose vertex is (1, -2) and passes through the point (-1, -22). Please show all of your work.
I appreciate any help! Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine the quadratic function,f(x)=ax˛+bx+c , whose vertex is (1, -2) and passes through the point (-1, -22).----------------
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y = a(x-h)^2+k
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(h,k) = (1,-2)
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y = a(x-1)^2-2
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Use (-1,-22) to solve for "a":
-22 = a(-1-1)^2-2
-22 = a(2)
a = -11
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Equation:
y = -11(x-1)^2-2
----
y = -11(x^2-2x+1)-2
---
y = -11x^2+22x-13
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Cheers,
Stan H.
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