Transformations of Functions

Transformations of Functions

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

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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 y = ax² + bx + c, where a, b, and c are constants.

2.

FLASHCARD QUESTION

Front

How does the graph of a quadratic function change when translated up by 5 units?

Back

The equation of the quadratic function becomes y = ax² + bx + (c + 5), shifting the entire graph upwards by 5 units.

3.

FLASHCARD QUESTION

Front

What does the transformation f(x) - 6 represent?

Back

This transformation represents a vertical shift of the graph downwards by 6 units.

4.

FLASHCARD QUESTION

Front

What is the effect of a vertical shrink by 1/2 on the graph of a function?

Back

A vertical shrink by 1/2 compresses the graph towards the x-axis, making it less steep.

5.

FLASHCARD QUESTION

Front

What does the transformation f(x + 5) indicate about the graph?

Back

This transformation indicates a horizontal shift of the graph to the left by 5 units.

6.

FLASHCARD QUESTION

Front

How do you describe the transformation of a function that moves right by 7 units?

Back

The transformation can be represented as f(x - 7), indicating a horizontal shift to the right.

7.

FLASHCARD QUESTION

Front

What is the parent graph of a quadratic function?

Back

The parent graph of a quadratic function is the graph of y = x², which is a parabola opening upwards.

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