Converting Between Vertex Form and Standard Form

Converting Between Vertex Form and Standard Form

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7A, HSA-REI.B.4B, HSA-SSE.B.3B

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by: f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

2.

FLASHCARD QUESTION

Front

How do you convert from vertex form to standard form?

Back

To convert from vertex form f(x) = a(x - h)² + k to standard form, expand the equation: f(x) = a(x² - 2hx + h²) + k = ax² - 2ahx + (ah² + k).

3.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is given by: f(x) = ax² + bx + c, where a, b, and c are constants.

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, the parabola opens upwards; if a < 0, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

5.

FLASHCARD QUESTION

Front

How do you find the vertex from standard form?

Back

To find the vertex from standard form f(x) = ax² + bx + c, use the formula: h = -b/(2a) and then substitute h back into the function to find k.

6.

FLASHCARD QUESTION

Front

What is the process of completing the square?

Back

Completing the square involves rewriting a quadratic in the form f(x) = ax² + bx + c into vertex form by adding and subtracting (b/2a)².

7.

FLASHCARD QUESTION

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set f(x) = 0 and solve the equation ax² + bx + c = 0 using factoring, completing the square, or the quadratic formula.

Tags

CCSS.HSF-IF.C.7A

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