Vertex Form of Quadratics

Vertex Form of Quadratics

Assessment

Flashcard

Mathematics

9th Grade

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 identify the vertex from the vertex form of a quadratic?

Back

In the vertex form y = a(x - h)² + k, the vertex is the point (h, k).

3.

FLASHCARD QUESTION

Front

What does the parameter 'a' in the vertex form indicate about the parabola?

Back

The parameter 'a' indicates the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards. The larger the absolute value of 'a', the narrower the parabola.

4.

FLASHCARD QUESTION

Front

What is the axis of symmetry for a quadratic in vertex form?

Back

The axis of symmetry for a quadratic in vertex form y = a(x - h)² + k is the vertical line x = h.

5.

FLASHCARD QUESTION

Front

How does the vertex form relate to the standard form of a quadratic equation?

Back

The vertex form y = a(x - h)² + k can be converted to standard form y = ax² + bx + c by expanding the equation.

6.

FLASHCARD QUESTION

Front

What is the effect of changing 'h' in the vertex form of a quadratic?

Back

Changing 'h' in the vertex form y = a(x - h)² + k translates the graph horizontally. If 'h' increases, the graph shifts to the right; if 'h' decreases, it shifts to the left.

7.

FLASHCARD QUESTION

Front

What is the effect of changing 'k' in the vertex form of a quadratic?

Back

Changing 'k' in the vertex form y = a(x - h)² + k translates the graph vertically. If 'k' increases, the graph shifts upward; if 'k' decreases, it shifts downward.

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