SOLUTION: I need to find the vertex of the parabola f(x)=-x2+3x-1

Question 126178: I need to find the vertex of the parabola
f(x)=-x2+3x-1
Answer by JessicaGill(40) (Show Source): You can put this solution on YOUR website!
To determine the vertex of a parabola without actually graphing it, you can use the following steps to obtain it.
1. First use the formula . This represents the X coordinate of your axis of symmetry. Note that your formula is in standard quadratic form . Let's do the necessary substitutions and perform the necessary operations.
We are substituting 3 for b and 1 for a.
Simplification step 1 Multiplying 2 times 1
Simplification step 2 Dividing 3 by 2
Simplification step 3 -1 times 3/2.
The negative 1 (-1) comes from the negative of
the entire formula. See step 1 for the
formula description.
Our x coordinate for the vertex and axis of symmetry is -3/2 or -1 1/2.
2. We now can substitute -3/2 into our original quadratic formula to solve for y.
Each x in the original equation has been replaced with -3/2

Now to solve the equation
A. Simplify the exponents
This involves multiplying fractions.

B. Simplify any multiplication
Again this involves multiplying whole numbers and fractions.

C. Perform addition/subtraction
This involves converting whole numbers to fractions and adding or
or subtracting, as the case may be.
==OR

The Y coordinate of our axis of symmetry and vertex is -3 3/4.

3. Therefore the vertex of the parabola is (-3/2,-3 3/4).
If you would rather work in decimal form, convert each fraction to a decimal.
and
See the graph below.

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