SOLUTION: use the discriminant to determine the number of x-intercepts for each quadratic function
f(x) = 3x^2 - 5x +1
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Question 328528: use the discriminant to determine the number of x-intercepts for each quadratic function
f(x) = 3x^2 - 5x +1
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
For a quadratic function in the form:
\ =\ ax^2\ +\ bx +\ c)
the discriminant, 
is the radicand in the quadratic formula, namely 
.
Substitute your values of 3, -5, and 1 into the discriminant and do the arithmetic. If 
, you have two real intercepts. If 
, you have one intercept, which is to say the 
-axis is tangent to the parabola at the vertex. And if 
there are no -intercepts.
John
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