What is the vertex of the parabola represented by the equation $$y = a(x - h)^2 + k$$ ?

The vertex is the point (h, k) where the parabola reaches its maximum or minimum value.

Which of the following is in vertex form: $$f(x) = x^2 + 6x - 2$$ or $$f(x) = (x - 1)^2 + 2$$ ?

$$f(x) = (x - 1)^2 + 2$$ is in vertex form.

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

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a

What is the significance of the vertex in a quadratic function?

The vertex represents the highest or lowest point of the parabola, depending on its orientation.

How can you determine if a quadratic opens upwards or downwards?

If the coefficient 'a' in the standard form $$y = ax^2 + bx + c$$ is positive, it opens upwards; if negative, it opens downwards.

What is the axis of symmetry in a quadratic function?

The axis of symmetry is the vertical line that passes through the vertex, given by the equation $$x = h$$ .

Convert to Vertex to Standard and then Back Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is vertex form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

How do you convert a quadratic equation from standard form to vertex form?

Back

3.

FLASHCARD QUESTION

Front

What is the process of completing the square?

Back

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