Transforming Quadratic Functions

Transforming Quadratic Functions

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
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

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 affect?

Back

The 'a' value affects the width and direction of the parabola. If |a| > 1, the parabola is narrower; if 0 < |a| < 1, it is wider. If a < 0, the parabola 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 upwards or downwards.

4.

FLASHCARD QUESTION

Front

How does the 'h' value in the vertex form of a quadratic function affect the graph?

Back

The 'h' value in the vertex form f(x) = a(x - h)² + k shifts the graph horizontally. If h is positive, the graph shifts to the right; if h is negative, it shifts to the left.

5.

FLASHCARD QUESTION

Front

What does the 'k' value in the vertex form of a quadratic function represent?

Back

The 'k' value represents a vertical shift. If k is positive, the graph shifts up; if k is negative, it shifts down.

6.

FLASHCARD QUESTION

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x².

7.

FLASHCARD QUESTION

Front

How do you determine if a quadratic function is a reflection over the x-axis?

Back

A quadratic function is reflected over the x-axis if the 'a' value is negative.

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