Ask Experts Questions for FREE Help !
Ask
    phoenirius's Avatar
    phoenirius Posts: 34, Reputation: 1
    Junior Member
     
    #1

    Dec 23, 2005, 10:53 AM
    Solving Quadratic Equations to Graph
    How would I graph x^2-3x=4 to solve it?
    And I would I check?
    Thank You.
    reinsuranc's Avatar
    reinsuranc Posts: 92, Reputation: 6
    Junior Member
     
    #2

    Dec 23, 2005, 11:53 AM
    Graphing
    Start with the quadratic in the form y = a*x^2 + b*x + c.

    If a>0, the parabola is U-shaped; if a<0, the parabola is upside-down u-shaped.

    If a>0, the minimum y value is at the point called the vertex. (If a<0, the maximum
    y value is at the point called the vertex.) The vertex (h,k) is found by
    calculating h = -b/(2a), and then substituting that x value to find the corresponding
    y value for k.

    y = x^2 - 3x -4.

    a=1, b=-3.

    h = -b/(2a) = --3/(2*1) = +3/2

    y = k = (3/2)^2 - 3*(3/2) -4 = -25/4.

    So minimum y point is at (3/2, -25,4).

    Also find the y-intercept where x=0: y = 0^2 - 3*0 -4 = -4.

    Now just plug in various x values and graph. Try x=1, x=2, x=3, x=4, x=-1. x=-2. x=-3. x=-4.
    Kenneth Greene's Avatar
    Kenneth Greene Posts: 3, Reputation: 1
    New Member
     
    #3

    Apr 26, 2007, 03:40 PM
    3x^2-5x-2
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member
     
    #4

    Apr 26, 2007, 04:33 PM
    Why are you posting on a topic which was posted almost a year and a half ago? How about starting your own thread?

Not your question? Ask your question View similar questions

 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

Quadratic Equations... Problem Solving [ 6 Answers ]

A ball is thrown straight up. Its height, h(in metres), after t seconds is give by h= -5t^2+10t+2. To the nearest tenth of a second, when is the ball 6m above the ground? Explain why there are two answers. I don't know how to manipulate the formula and how to solve for this problem. Second...

Solving Functions [ 5 Answers ]

Knowing f(x)=x^2+x and g(x)=2x+1 how would you solve f(g(x)) and (g (circle) f)(4)?? How do you determine the f^(-1) of f(x)=3x-2? Is x+2/3 correct? Thanks

Trig Graph [ 1 Answers ]

Graph y=1+3sec(2x+(pi/2)) Please help!! If you could give me the points to plot that'd be AWESOME! :D

Algebraic Equations Max and Min Problem Solving [ 17 Answers ]

Ms. Brown has 200m of fencing with which she intends to construct a rectangular enclosure along a river where no fencing is needed. She plans to divide the enclosure into two parts to separate her sheep from her coats, two perfect squars with right angles, river at upper portion of diagram. What...

Solving for m and b [ 5 Answers ]

How would you break down these equations to solve for m and b? 9=-3m+b 4=-m+b Thank you.


View more questions Search