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Roots of Quadratic Equations shown Graphically

CONCEPTS

Solutions & Graphs

• Every time a line crosses or touches the x–axis, it is a solution

• A graph must cross or touch the x–axis for it to have any solutions (if not, the solutions are imaginary


Degree of Equation & Graphs

• Straight line that crosses the x–axis: linear term

• Bell shaped curve (or curved line) that crosses the x–axis: squared term

• Line up, then curved and then line up again: cubed term

PRACTICE PROBLEMS

Question 1 Show the linear (1st order), quadratic (2nd order), & cubed (3rd order) solution on a graph


-- Answer -- See below



ACT PRACTICE PROBLEMS

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