SOLUTION: use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x,use the resulting points to graph the
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Question 337737: use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x,use the resulting points to graph the function. show your work.
Could someone please help me with this problem?
Thank you so much.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x,use the resulting points to graph the function. show your work.
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f(x)= (1/2)x^2
a = (1/2) ; b = 0 ; c = 0
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Formula:
x = [-b +- sqrt(b^2-4ac)]/(2a)
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x = [-0 +- sqrt(0^2-4*(1/2)*0)]/(2*(1/2))
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x = [0 +- 0]/1
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x = 0
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So the graph touches the x-axis at (0,0)
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f(x) = (1/2)x^2
Plot some points near (0,0)
If x = +1 or -1 y = (1/2)(1)^2 = 1/2
That gives you two points: (-1,1/2) and (1,1/2)
If x = 2 or -2 y = (1/2)(2^2) = 2
That gives you two points: (-2,2) and (2,2)
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Cheers,
Stan H.
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