What is the general form of a quadratic equation?

The general form of a quadratic equation is $$y = ax^2 + bx + c$$ , where $$a$$ , $$b$$ , and $$c$$ are constants and @@a eq 0@@.

How do you determine if an equation is quadratic?

An equation is quadratic if the highest exponent of the variable is 2.

What is the significance of the coefficient of $$x^2$$ in a quadratic equation?

The coefficient of $$x^2$$ determines the direction of the parabola: if it is positive, the parabola opens upwards; if negative, it opens downwards.

What is the vertex of a parabola?

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

What is the standard form of a linear equation?

The standard form of a linear equation is $$Ax + By = C$$ , where $$A$$ , $$B$$ , and $$C$$ are integers.

What does it mean for an equation to be in standard form?

An equation is in standard form when it is expressed as $$Ax + By = C$$ , making it easier to identify intercepts.

How can you graph a linear equation?

To graph a linear equation, find two points that satisfy the equation and draw a straight line through them.

What is the difference between a linear and a nonlinear function?

A linear function has a constant rate of change and graphs as a straight line, while a nonlinear function has a variable rate of change and graphs as a curve.

Flashcard 5-3 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

2.

FLASHCARD QUESTION

Front

What is a nonlinear equation?

Back

3.

FLASHCARD QUESTION

Front

How can you identify a linear equation from its graph?

Back

A linear equation will produce a graph that is a straight line, while a nonlinear equation will produce a curve or other shapes.

4.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

5.

FLASHCARD QUESTION

Front

What is the first step to convert the equation -x + 4y = 11 to slope-intercept form?

Back

6.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

7.

FLASHCARD QUESTION

Front

What is the y-intercept of a linear equation?

Back

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