Family of Functions Review

Family of Functions Review

Assessment

Flashcard

Mathematics

8th - 11th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a family of functions?

Back

A family of functions is a group of functions that share common characteristics, such as the same general form or behavior.

2.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

3.

FLASHCARD QUESTION

Front

How do you find the vertex of a quadratic function in vertex form?

Back

For a quadratic function in the form f(x) = a(x - h)² + k, the vertex is the point (h, k).

4.

FLASHCARD QUESTION

Front

What does the 'a' value in a quadratic function indicate?

Back

The 'a' value determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

5.

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.

6.

FLASHCARD QUESTION

Front

How can you determine if a quadratic function opens up or down?

Back

You can determine this by looking at the 'a' value in the function: if 'a' is positive, it opens up; if 'a' is negative, it opens down.

7.

FLASHCARD QUESTION

Front

What is the absolute value function?

Back

The absolute value function is defined as f(x) = |x|, which outputs the non-negative value of x.

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