2B Flashcard Review

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is the constant of variation.

Front

How do you find the constant of variation in direct variation?

Back

To find the constant of variation (k), divide the value of y by the value of x (k = y/x) when given a pair of values.

Front

What is the equation of a quadratic function?

Back

The equation of a quadratic function is in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you solve a system of equations graphically?

Back

To solve a system of equations graphically, plot both equations on the same graph and identify the point(s) where they intersect. These points represent the solutions.

Front

What does it mean for y to vary inversely with x?

Back

If y varies inversely with x, it means that as x increases, y decreases, and vice versa. This relationship can be expressed as y = k/x, where k is a constant.

Front

How do you find the value of y when given an inverse variation?

Back

To find y in an inverse variation, use the formula y = k/x, where k is the product of x and y from a known pair.

Front

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

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola. It represents the maximum or minimum value of the function.

Front

What is the difference between direct and inverse variation?

Back

In direct variation, y increases as x increases (y = kx). In inverse variation, y decreases as x increases (y = k/x).

Front

How can you determine if a table represents a direct variation?

Back

A table represents direct variation if the ratio of y to x is constant for all pairs of values.

Front

What is the formula for finding the solutions of a quadratic equation?

Back

The solutions of a quadratic equation can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).