Algebra 2 Final Exam Review

Front

What is the domain and range of the function f(x) = x²?

Back

Domain: (−∞,+∞); Range: [0,+∞)

Front

What is intercept form of a quadratic function?

Back

Intercept form is expressed as f(x) = a(x - p)(x - q), where p and q are the x-intercepts.

Front

What is standard form of a quadratic function?

Back

Standard form is expressed as f(x) = ax² + bx + c.

Front

Simplify: (x + 5)²

Back

x² + 10x + 25

Front

What is the vertex form of a quadratic function?

Back

Vertex form is expressed as f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

What does it mean for a function to have an absolute maximum?

Back

An absolute maximum is the highest point over the entire domain of the function.

Front

What does it mean for a function to have an absolute minimum?

Back

An absolute minimum is the lowest point over the entire domain of the function.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What is the process to find the vertex of a parabola in standard form?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the function.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real roots, one real root, or no real roots.