Quadratic Functions and Sequences Worksheet

Quadratic Functions and Sequences Worksheet

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c.

3.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function, found at the point (h, k) in the vertex form f(x) = a(x-h)² + k.

4.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).

5.

FLASHCARD QUESTION

Front

What is the first common difference (Δx)?

Back

The first common difference (Δx) is the difference between consecutive x-values in a sequence.

6.

FLASHCARD QUESTION

Front

What is the second common difference (2nd Δy)?

Back

The second common difference (2nd Δy) is the difference of the differences of the y-values in a sequence, indicating the rate of change of the first differences.

7.

FLASHCARD QUESTION

Front

What does it mean if the second differences are constant?

Back

If the second differences are constant, the sequence of y-values represents a quadratic function.

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