Quadratic Transformations

Quadratic Transformations

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

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

Standards-aligned

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

2.

FLASHCARD QUESTION

Front

What does it mean for a quadratic function to be 'narrower' or 'wider'?

Back

A quadratic function is 'narrower' when the absolute value of the leading coefficient (a) is greater than 1, and 'wider' when it is between 0 and 1.

3.

FLASHCARD QUESTION

Front

How does the value of 'a' affect the graph of a quadratic function?

Back

The value of 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower for |a| > 1, wider for 0 < |a| < 1).

4.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What does it mean to reflect a quadratic function over the x-axis?

Back

Reflecting a quadratic function over the x-axis means changing the sign of the leading coefficient 'a', resulting in a downward-opening parabola if it was originally upward-opening.

6.

FLASHCARD QUESTION

Front

What is the effect of translating a quadratic function up or down?

Back

Translating a quadratic function up or down involves adding or subtracting a constant from the function, changing the y-coordinate of the vertex.

7.

FLASHCARD QUESTION

Front

How do you stretch or compress a quadratic function vertically?

Back

To stretch or compress a quadratic function vertically, multiply the function by a constant factor. If the factor is greater than 1, it stretches; if between 0 and 1, it compresses.

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