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 does the discriminant tell us about a quadratic function?

The discriminant, given by $$D = b^2 - 4ac$$ , indicates the nature of the roots: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D

What is the standard form of a quadratic function?

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

How can you determine if a quadratic function opens upwards or downwards?

A quadratic function opens upwards if the coefficient 'a' is positive and downwards if 'a' is negative.

What is the significance of the constant term in a quadratic function?

The constant term 'c' in the standard form $$f(x) = ax^2 + bx + c$$ represents the y-intercept of the graph.

A parabola is the graph of a quadratic function, characterized by its U-shape and symmetry about the axis of symmetry.

How do you find the y-intercept of a quadratic function?

The y-intercept can be found by evaluating the function at x = 0, which gives the value of 'c' in the standard form.

What is the relationship between the coefficients and the graph of a quadratic function?

The coefficients 'a', 'b', and 'c' affect the shape, position, and direction of the parabola, influencing its width, vertex, and intercepts.

Quadratic Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What shape does the graph of a quadratic function form?

Back

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

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