# Algebra 1 (Honors) // Quadratic Equations

Create your own quadratic equation that has an axis of symmetry of x = 1 and whose graph opens down. Then find the vertex, domain, range, and x-intercepts. Show all work to receive full credit.

### Comments for Algebra 1 (Honors) // Quadratic Equations

 May 05, 2013 Quadratic Equation by: Staff Answer Part I The most convenient and direct way to control the shape and placement of a parabola on the x-y grid is to write the equation in the vertex form. The vertex form of a parabola is: When the parabola is plotted, it looks like this: When the coefficient "a" > 0, the parabola opens upward. When the coefficient "a" < 0, the parabola opens downward. ---------------------------------------

 May 05, 2013 Quadratic Equation by: Staff --------------------------------------- Part II Your Question: Create your own quadratic equation that has an axis of symmetry of x = 1 and whose graph opens down. The graph will open downward if a < 1. I have arbitrarily chosen a = -3. The axis of symmetry must be x = 1. Therefore h = 1. ---------------------------------------

 May 05, 2013 Quadratic Equation by: Staff --------------------------------------- Part III The value of k can be any number. I have arbitrarily chosen k = 12. The final equation: Solving for the x-intercepts set y = 0, and then solve for x subtract 12 from each side of the equation ---------------------------------------

 May 05, 2013 Quadratic Equation by: Staff --------------------------------------- Part IV divide each side of the equation by -3 take the square root of each side of the equation 1st intercept 2nd intercept ---------------------------------------

 May 05, 2013 Quadratic Equation by: Staff --------------------------------------- Part V Final Answer: Equation: Vertex: Domain of the function: Range of the function: ---------------------------------------

 May 05, 2013 Quadratic Equation by: Staff --------------------------------------- Part VI x-intercepts: A graph for the parabola is shown below: also see: Create Quadratic Equation Thanks for writing. Staff www.solving-math-problems.com

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