 # 1. Determine if f(x) has a minimum or maximum 2. Find the y-intercept of f(x) 3. Find the equation of the axis of symmetry of f(x) 4. Find the vertex of.

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1. Determine if f(x) has a minimum or maximum 2. Find the y-intercept of f(x) 3. Find the equation of the axis of symmetry of f(x) 4. Find the vertex of f(x) 5. Graph f(x)

Section 6-2

 A quadratic equation is of the form  The solutions of a quadratic equation are called roots.  These same values are the zeros of the related quadratic function.  These same values are also the x-intercepts of the graph of the related quadratic function.

1. Move all terms to one side, to get f(x)=0 2. Graph the related quadratic function (as done in section 6-1). 3. Determine where the x-intercepts are. ◦ For integer x-intercepts, state the intercept. ◦ For x-intercepts between two integers, state between which two consecutive integers each x-intercept lies. 4. The values of the x-intercepts are also the values of the roots.

 Use your graph to determine how many real solutions the quadratic equation has.

 Find two real numbers whose sum is 4 and whose product is 5, or show that no such numbers exist.

 Find two real numbers whose sum is 5 and whose product is -14, or show that no such numbers exist.

 Solve by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

 Page 297 #14-19 all, 21-41 every other odd, 67-72 all

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