AIgo NotesFlashcards for:
Quadratic Equations - Intercept Form
How do you calculate the sum of the roots of a quadratic equation in vertex form?
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Use the formula 2 * h
What is the standard form of a quadratic equation?
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y = ax^2 + bx + c
What is the intercept form of a quadratic equation?
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y = a * x - p * x - q
What do p and q represent in the intercept form?
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p and q are the x-intercepts of the quadratic equation
How do you find the y-intercept of a quadratic equation in standard form?
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Set x equal to 0 and solve for y
How do you find the x-intercepts of a quadratic equation in intercept form?
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The x-intercepts are the values of p and q
How do you find the coordinates of the vertex of a quadratic equation?
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The x-coordinate is the average of the x-intercepts, and the y-coordinate is found by substituting the x-coordinate back into the equation
What is the vertex form of a quadratic equation?
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y = a(x - h)^2 + k
How do you find the axis of symmetry of a quadratic equation?
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The axis of symmetry is the vertical line passing through the vertex, and its equation is x = h, where h is the x-coordinate of the vertex
How do you calculate the sum of the roots of a quadratic equation in intercept form?
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Simply add p and q
How do you calculate the sum of the roots of a quadratic equation in standard form?
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Use the formula B/a
How do you calculate the sum of the roots of a quadratic equation in vertex form?
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Use the formula 2 * h
What is the standard form of a quadratic equation?
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y = ax^2 + bx + c