April 2nd Assignment

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations true simultaneously.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the maximum number of solutions a linear and a quadratic function can have?

Back

A linear and a quadratic function can have at most 2 solutions.

Front

How do you find the intersection of a linear function and a quadratic function?

Back

Set the equations equal to each other and solve for the variable.

Front

What is the general form of a quadratic equation?

Back

The general form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the vertex of a parabola?

Back

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

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant (b^2 - 4ac) indicates the nature of the roots: two real solutions, one real solution, or no real solutions.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically represented as f(x) = ax^2 + bx + c.