SOLUTION: sketch graph of quadratic function f(x)=x^2-2x-3

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Question 633466: sketch graph of quadratic function
f(x)=x^2-2x-3


Found 3 solutions by stanbon, richwmiller, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
sketch graph of quadratic function
f(x)=x^2-2x-3
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Cheers,
Stan H.
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Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=16 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3, -1. Here's your graph:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,



f(x) = x^2-2x-3  Pt(0,-3) on this parabola 

f(x) = (x-1)^2 -4  

parabola Opening upward, V(1,-4), Line of Symmetry x = 1

 0 = (x-1)^2 -4  , x-intercepts 1± 2,  Pts (3,0) and (-1,0) on the curve

Sketch:



 

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