Transformations of Quadratic Functions

Transformations of Quadratic Functions

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Flashcard

Mathematics

9th Grade

Hard

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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.

2.

FLASHCARD QUESTION

Front

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

Back

The 'a' value determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

3.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens up or down.

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 formula x = -b/(2a).

5.

FLASHCARD QUESTION

Front

What does a vertical shift in a quadratic function indicate?

Back

A vertical shift moves the graph up or down. For example, in f(x) = x² + k, k indicates the vertical shift: up if k > 0, down if k < 0.

6.

FLASHCARD QUESTION

Front

What does a horizontal shift in a quadratic function indicate?

Back

A horizontal shift moves the graph left or right. In f(x) = (x - h)², h indicates the horizontal shift: right if h > 0, left if h < 0.

7.

FLASHCARD QUESTION

Front

What is a vertical stretch in a quadratic function?

Back

A vertical stretch occurs when the 'a' value is greater than 1, making the parabola narrower. For example, f(x) = 2x² is a vertical stretch of f(x) = x².

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