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

To find the x-intercepts, set $$y = 0$$ and solve the equation for x.

What are the x-intercepts of the function $$y = 3(x + 5)^2 - 4$$ ?

The x-intercepts are (-5, 0) and (-3, 0).

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

The 'a' value indicates the direction of the parabola: if a > 0, it opens upwards; if a

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

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

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

If the coefficient 'a' in the vertex form $$y = a(x - h)^2 + k$$ is positive, the parabola opens upwards; if negative, it opens downwards.

What is the vertex of the parabola given by the equation $$y = 3(x + 5)^2 - 4$$ ?

The vertex of the parabola is (-5, -4).

What is the general shape of a quadratic graph?

A quadratic graph is a U-shaped curve called a parabola.

What is the formula to convert from standard form to vertex form?

To convert from standard form $$y = ax^2 + bx + c$$ to vertex form, use the method of completing the square.

Graphing Quadratics in Vertex Form Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

How do you find the vertex of a parabola in vertex form?

Back

3.

FLASHCARD QUESTION

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as @@(- ext{∞}, ext{∞})@@.

4.

FLASHCARD QUESTION

Front

What is the range of a quadratic function in vertex form when a > 0?

Back

5.

FLASHCARD QUESTION

Front

What is the range of a quadratic function in vertex form when a < 0?

Back

6.

FLASHCARD QUESTION

Front

How do you find the y-intercept of a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

Back

The y-intercept is (0, 22).

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