Math 2: Review

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at different points.

Front

If two lines are cut by a transversal and the alternate interior angles are equal, what can be concluded about the lines?

Back

The lines are parallel.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other.

Front

If y varies directly with x, and y = 10 when x = 2, what is the constant of variation?

Back

The constant of variation is 5.

Front

What is inverse variation?

Back

Inverse variation is a relationship where the product of two variables is constant.

Front

If y varies inversely with x, and y = 4 when x = 3, what is the constant of variation?

Back

The constant of variation is 12.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you convert a quadratic function from standard form to vertex form?

Back

You can complete the square to convert from standard form ax² + bx + c to vertex form.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the function crosses the x-axis.