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Big Ideas Math Algebra 1 A Bridge to Success
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Big Ideas Math Algebra 1 A Bridge to Success View details
2. Solving Quadratic Equations by Graphing
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Exercise 3 Page 489

The x-intercepts of a function f(x) are the solutions to the equation f(x) = 0.

See solution.

Practice makes perfect
To solve the quadratic equation ax^2+bx+c= 0, we can consider the associated quadratic function f(x)=ax^2+bx+c. Notice that the x-values for which f(x)=0 satisfy the original equation. f(x)=0 ⇔ ax^2+bx+c= 0

Since all the points on the graph are of the form (x,f(x)), the solutions to the original equation are the x-values of the points (x,0). These are the x-intercepts of the associated function.

We can summarize these ideas as shown below.

We can solve a quadratic equation ax^2+bx+c=0 using the graph of its associated function f(x) = ax^2+bx+c, and identifying the x-intercepts of the graph. These are also the solutions to the quadratic equation.

Subchapter links expand_more
arrow_right Communicate Your Answer p.489
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arrow_right Monitoring Progress p.490-493
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arrow_right Exercises p.494-496
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