What are the y-intercepts of a quadratic function?

The y-intercept of a quadratic function is the point where the graph intersects the y-axis, found by evaluating $$f(0)$$ .

What is the quadratic formula?

The quadratic formula is used to find the roots of a quadratic equation and is given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the discriminant in a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$D = b^2 - 4ac$$ . It determines the nature of the roots.

What does it mean if the discriminant is positive?

If the discriminant is positive, the quadratic equation has two distinct real roots.

What does it mean if the discriminant is zero?

If the discriminant is zero, the quadratic equation has exactly one real root (a repeated root).

What does it mean if the discriminant is negative?

If the discriminant is negative, the quadratic equation has no real roots (the roots are complex).

How can you determine the maximum or minimum value of a quadratic function?

The maximum or minimum value occurs at the vertex, and can be found by evaluating $$f(h)$$ where $$h = -\frac{b}{2a}$$ .

What is the significance of the x-intercepts in a quadratic function?

The x-intercepts are the points where the graph crosses the x-axis, representing the solutions to the equation $$f(x) = 0$$ .

Quadratic Functions Flashcards

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FLASHCARD QUESTION

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What is a quadratic function?

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FLASHCARD QUESTION

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What are the roots of a quadratic function?

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