Graphing Quadratics in Intercept Form | Graphing Quadratic Equations | Partners in Prime

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The intercept form for graphing quadratics is y = a(x - P)(x - Q), with P and Q representing the x-intercepts, and the vertex can be located by averaging the x-intercepts. Additional points on the graph can be found by plugging in other x-values and reflecting them across the axis of symmetry.

Insights

  • The intercept form for graphing quadratics involves the equation y = a(x - P)(x - Q), with P and Q representing the x-intercepts.
  • The vertex of a quadratic is positioned at the midpoint of the x-intercepts, determined by averaging the values of P and Q, and its y-coordinate can be calculated by substituting the x-coordinate back into the original quadratic equation.

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Recent questions

  • How do you graph quadratics in intercept form?

    By plotting x-intercepts, finding vertex, and additional points.

  • What is the formula for intercept form of quadratics?

    y = a(x - P)(x - Q)

  • How do you find the vertex of a quadratic?

    By averaging the x-intercepts algebraically.

  • How do you determine the y-coordinate of the vertex?

    Substitute x-coordinate back into the equation.

  • How do you plot additional points on a quadratic graph?

    Plug in x-value, reflect across axis of symmetry.

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Summary

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Graphing Quadratics Using Intercept Form

  • Intercept form for graphing quadratics is y equals a times (x - P)(x - Q), where P and Q are the x-intercepts.
  • To graph a quadratic in intercept form, first plot the x-intercepts by switching the signs in front of the numbers in the parentheses.
  • The vertex of the quadratic is located in the middle of the x-intercepts, which can be found algebraically by averaging P and Q.
  • Find the y-coordinate of the vertex by substituting the x-coordinate back into the original quadratic equation.
  • To plot additional points, plug in another x-value into the equation, then reflect it across the axis of symmetry to complete the graph.
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