SOLUTION: Form quadratic functions having the following properties:
Zeroes at 1ħsqrt(2), y-intercept at 4.
(I tried the answers 4x^2-8x-4 and -4x^2-8x-4, but it didn't work)
Th
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Question 1071386: Form quadratic functions having the following properties:
Zeroes at 1ħsqrt(2), y-intercept at 4.
(I tried the answers 4x^2-8x-4 and -4x^2-8x-4, but it didn't work)
Thank you
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Given as one of multiple choices,
you should find it works because
1) the y-intercept is , and
-->-->-->-->-->-->
Given no multiple choice answers, you would have to find
function yourself.
ONE WAY TO DO IT:
With zeros at ,
the factored form of the quadratic function would be
Simplifying and multiplying we get the standard form.
The y-intercept is
, so --> ,
and -->
ANOTHER WAY:
with represents any and all quadratic functions.
If is the y-intercept,
--> -->
The quadratic formula says that the zeros are given by
If those zeros are
, then setting the rational and irrational parts as equal,
-->-->-->-->-->-->-->-->-->-->--> .
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