SOLUTION: Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry). y = –x^2 + 3x – 3

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Question 103593: Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).
y = –x^2 + 3x – 3
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
there is no intercept
intercept is (if => )
and have a real and imaginary part
= +
= -










vertex ,
table:
y = –x^2 + 3x – 3
x | y
0 | -3
1 | -1
2 | -1

Solved by pluggable solver: SOLVE quadratic equation with variable
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 : .

The discriminant -3 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -3 is + or - .

The solution is

Here's your graph:
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