What is the vertex form of a quadratic function?

The vertex form of a quadratic function is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

How do you determine if a parabola opens upwards or downwards?

A parabola opens upwards if $$a > 0$$ and downwards if $$a

What are the key features of a parabola?

Key features of a parabola include the vertex, axis of symmetry, direction of opening, and x-intercepts.

What is the significance of the y-intercept in a quadratic function?

The y-intercept is the point where the graph intersects the y-axis, found by evaluating the function at $$x = 0$$ .

How can you graph a quadratic function?

To graph a quadratic function, identify the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw a smooth curve.

What is the relationship between the x-intercepts and the axis of symmetry?

The axis of symmetry is located exactly in the middle of the x-intercepts of a parabola.

A parabola is the graph of a quadratic function, characterized by its U-shape and defined by its vertex and direction of opening.

How do you convert from standard form to vertex form?

To convert from standard form $$y = ax^2 + bx + c$$ to vertex form $$y = a(x - h)^2 + k$$ , complete the square.

Basic Quadratics Graph Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

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

4.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a parabola?

Back

5.

FLASHCARD QUESTION

Front

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

Back

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