# It (really) is my pleasure. -nt-

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Posted by T.Gracken on October 24, 2002 at 19:29:10:

In Reply to: Re: parabolas posted by joyce on October 24, 2002 at 17:32:16:

: : : here is an example problem of the work i need help on... y = f(x) = -3x squared + 24x -44 how do you find the vertex in the form (x,y)??? how do you find the x axis intercept?

: : if you have an equation in the form y =Ax2 + Bx + C (A, B, and C real numbers and A not equal 0), then the x-coordinate of the vertex can be found by evaluating [-B/(2A)]

: : so, for your equation, the x-coordinate of the vertex is [-24/(2*(-3))] = 4.

: : to determine the y-coordinate of the vertex, substitute the x-coordinate into the original equation.

: : As to the x-intercepts, substitute 0 in place of y and solve the resulting equation for x. (there may be none, one, or two real number answers)

: thank you very much.

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