SOLUTION: Without graphing, tell how many x-intercepts y = –3x2 + 4x + 4 has. A)3 intercepts B)2 intercepts C)0 intercepts D)1 intercept

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Question 462810: Without graphing, tell how many x-intercepts y = –3x2 + 4x + 4 has.
A)3 intercepts B)2 intercepts C)0 intercepts D)1 intercept
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The x intercepts occur when the function value equals zero. We don't need to find the zeros; all we need is the number of zeros, which can be obtained by finding the discriminant.

The discriminant is b^2 - 4ac, or 4^2 - 4(-3)(4), which is positive, so the function has two x-intercepts (B).