What is the discriminant of a quadratic equation?

The discriminant is given by $$D = b^2 - 4ac$$ and determines 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 factored form of a quadratic function?

The factored form of a quadratic function is $$f(x) = a(x - r_1)(x - r_2)$$ , where $$r_1$$ and $$r_2$$ are the roots of the function.

How do you determine if a relation is quadratic?

A relation is quadratic if it can be expressed in the form of a quadratic equation, or if its graph is a parabola.

What is the significance of the vertex in a quadratic function?

The vertex represents the maximum or minimum value of the function, depending on the direction the parabola opens.

What is the relationship between the roots and the axis of symmetry?

The axis of symmetry is located exactly halfway between the two roots of the quadratic function.

How can you identify the y-intercept from a graph?

The y-intercept is the point where the graph crosses the y-axis, which occurs when $$x = 0$$ .

What is the general shape of a quadratic function's graph?

The graph of a quadratic function is a parabola, which can open upwards or downwards.

What does it mean for a quadratic function to have complex roots?

Complex roots occur when the discriminant is less than zero, indicating that the parabola does not intersect the x-axis.

Properties of Quadratic Functions

Flashcard

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7A, HSA-REI.B.4B, HSA-SSE.B.3B

Standards-aligned

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FLASHCARD QUESTION

Front

What is a quadratic function?

Back

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

FLASHCARD QUESTION

Front

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

Back

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