What is the standard form of a quadratic function?

The standard form of a quadratic function is $$f(x) = ax^2 + bx + c$$ , where $$a$$ , $$b$$ , and $$c$$ are constants.

What is the vertex form of a quadratic function?

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

How do you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, x-intercepts, and y-intercept. Plot these points and draw a smooth curve through them.

What is the y-intercept of a quadratic function?

The y-intercept of a quadratic function is the point where the graph intersects the y-axis, found by evaluating the function at $$x = 0$$ , which gives $$f(0) = c$$ .

A parabola is the graph of a quadratic function, which is a U-shaped curve that can open upwards or downwards.

What does it mean for a quadratic function to have real roots?

A quadratic function has real roots if its graph intersects the x-axis. This occurs when the discriminant is non-negative (i.e., $$D \geq 0$$ ).

How can you identify the maximum or minimum point from a graph of a quadratic function?

The maximum or minimum point can be identified as the highest or lowest point on the graph of the parabola, which corresponds to the vertex.

What is the relationship between the coefficients of a quadratic function and its graph?

The coefficients $$a$$ , $$b$$ , and $$c$$ affect the shape, position, and direction of the parabola. For example, $$a$$ determines the direction of opening, while $$b$$ and $$c$$ influence the position of the vertex and y-intercept.

8-2 Interpreting Quadratic Functions 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 vertex of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

What does the axis of symmetry represent in a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in a quadratic equation?

Back

6.

FLASHCARD QUESTION

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value of a quadratic function occurs at the vertex. It is the value of the function at the vertex, which can be calculated by substituting the x-coordinate of the vertex back into the function.

7.

FLASHCARD QUESTION

Front

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

Back

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