What is the vertex form of a quadratic equation?

The vertex form of a quadratic equation is $$y = a(x - h)^2 + k$$ , where $$(h, k)$$ is the vertex of the parabola.

How do you find the x-intercepts of a quadratic function?

To find the x-intercepts, set $$y = 0$$ in the quadratic equation and solve for $$x$$ .

What is the significance of the coefficient 'a' in a quadratic equation?

The coefficient 'a' determines the direction of the parabola: if $$a > 0$$ , the parabola opens upwards; if $$a

How do you solve a quadratic equation by completing the square?

To complete the square, rearrange the equation to isolate the constant term, then add the square of half the coefficient of $$x$$ to both sides, and solve for $$x$$ .

What is the relationship between the roots and coefficients of a quadratic equation?

For a quadratic equation $$ax^2 + bx + c = 0$$ , the sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

What is the role of the constant term 'c' in a quadratic equation?

The constant term 'c' represents the y-intercept of the quadratic function, which is the point where the graph intersects the y-axis.

How can you determine if a quadratic equation has real solutions?

You can determine if a quadratic equation has real solutions by calculating the discriminant $$D = b^2 - 4ac$$ ; if $$D >= 0$$ , the equation has real solutions.

What is the graphical representation of a quadratic function?

The graphical representation of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient 'a'.

Quadratic Equations Flashcards

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

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2.

FLASHCARD QUESTION

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What is the quadratic formula?

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