solve and graph
y=-(x-3)(x-1)
Solution
y=x^2 - 4x + 3 You can write x^2 for x-squared in the future. The general formula for a
quadratic equation, the name for anything with an x^2 (and no x^3 or bigger exponent) is: ax^2 +
bx + c Look at this equation and you can see a = 1, b = -4 and c = 3. Use these formulas: Line of
symmetry: x = -b/(2a) Vertex: the x is -b/(2a) and y is f(-b/(2a)) then write this as an ordered pair
(x,y) To get a table of values just pick some values of x like -2, -1, 0, 1, 2 and replace x in the
equation with these values one at a time to find the y values. Hint: Earlier I wrote f(-b/(2a)). This
notation confuses most people. It means to calculate -b/(2a) and get a number then replace x in
the equation with this number and use the order of operations to evaluate. You will end up with a
number. The graph will look like a U shape called a parabola.