Alg 2 - Review #1 For Final Exam (12-5-24)

Front

What is the equation of a parabola in vertex form?

Back

The equation of a parabola in vertex form is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you find the axis of symmetry for a quadratic equation?

Back

The axis of symmetry for a quadratic equation in the form y = ax² + bx + c is given by the formula x = -b/(2a).

Front

What does it mean when a system of linear equations has 'no solution'?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is the solution to the system of equations: x + y = 7 and x - y = -1?

Back

The solution is (3, 4).

Front

How do you solve a system of equations using the elimination method?

Back

To solve by elimination, manipulate the equations to eliminate one variable, then solve for the remaining variable.

Front

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

Back

The vertex represents the highest or lowest point of the parabola, depending on the direction it opens.

Front

What does it mean when a system of linear equations has 'infinitely many solutions'?

Back

It means that the lines are the same, overlapping at every point.

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

If the coefficient 'a' in the equation y = ax² + bx + c is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the formula for the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What is the standard form of a linear equation?

Back

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