Vertex Form

Vertex Form

Assessment

Flashcard

Mathematics

8th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

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

2.

FLASHCARD QUESTION

Front

How do you find the vertex from the vertex form equation y = a(x - h)² + k?

Back

The vertex is the point (h, k) in the equation.

3.

FLASHCARD QUESTION

Front

What does the 'a' in the vertex form y = a(x - h)² + k represent?

Back

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

4.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a parabola given in vertex form?

Back

The axis of symmetry is the vertical line x = h, where (h, k) is the vertex.

5.

FLASHCARD QUESTION

Front

If the vertex of a parabola is (-5, -4), what is the equation in vertex form?

Back

The equation is y = a(x + 5)² - 4, where 'a' can be any non-zero value.

6.

FLASHCARD QUESTION

Front

What is the significance of the vertex in a parabola?

Back

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

7.

FLASHCARD QUESTION

Front

How can you determine the direction of a parabola from its vertex form?

Back

By looking at the 'a' value: if 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.

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