Quadratic Linear system

Front

What is a Quadratic Linear System?

Back

A system of equations consisting of one quadratic equation and one linear equation.

Front

What does it mean if a Quadratic Linear System does not intersect?

Back

It means there are no solutions to the system.

Front

How can you identify the x-intercepts of a quadratic function?

Back

Set the quadratic equation equal to zero and solve for x.

Front

What is the significance of a solid line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set.

Front

What does the symbol '≥' indicate in an inequality?

Back

It indicates that the values on the line are included in the solution set.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations; if both equations are satisfied, it is a solution.

Front

What is the general form of a quadratic equation?

Back

The general form is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the vertex of a quadratic function?

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation represents a straight line, while a quadratic equation represents a parabola.