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Write Quadratic Functions

Write Quadratic Functions. Quadratic functions can be written in various forms: Standard (or general) form: y=ax 2 +bx+c Vertex form: y=a(x–h) 2 +k , where the vertex is (h, k) Intercept form : y=a(x–r 1 )(x–r 2 ), where r 1 and r 2 are the roots (x-intercepts).

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Write Quadratic Functions

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  1. Write Quadratic Functions • Quadratic functions can be written in various forms: • Standard (or general) form: y=ax2+bx+c • Vertex form: y=a(x–h)2+k, where the vertex is (h, k) • Interceptform: y=a(x–r1)(x–r2), where r1 and r2 are the roots (x-intercepts)

  2. Write Quadratic Functions • Choose the most appropriate form based on the information provided • Substitute known information for the correct variables • Solve for any unknown variable • Rewrite in simplified form • Check your answer

  3. Example 1- Vertex Write an equation for a parabola with vertex at (-2, 3) that passes through the point (-1, 2) Steps Choose eqn Subst in points Solve for a Rewrite eqtn Check

  4. Example 2- Intercept Write an equation for a parabola with roots of 1 and -3 that passes through the point (-2, -6) Steps Choose eqn Subst in points Solve for a Rewrite eqtn Check

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