Algebra 2 Semester 1 Final

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function. For the function y = ax^2 + bx + c, the vertex can be found at the point (-b/(2a), f(-b/(2a))).

Front

What does it mean if a quadratic function opens upwards?

Back

If a quadratic function opens upwards, it has a minimum point (the vertex) and the coefficient 'a' in the equation y = ax^2 + bx + c is positive.

Front

What does it mean if a quadratic function opens downwards?

Back

If a quadratic function opens downwards, it has a maximum point (the vertex) and the coefficient 'a' in the equation y = ax^2 + bx + c is negative.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, and remember to reverse the inequality sign if you multiply or divide by a negative number.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality. It can be represented on a number line or in interval notation.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

Front

What is an identity in algebra?

Back

An identity is an equation that is true for all values of the variable involved, such as 0 = 0.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function g(x) at a specific point, substitute the value of x into the function and simplify.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the standard form of a quadratic equation?

Back

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