Graphing Quadratics in Intercept Form | Graphing Quadratic Equations | Partners in Prime
Partners in Prime・7 minutes read
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.
