A2 Review 3 Mix

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, represented as a coordinate (h, k) in the vertex form of the equation y = a(x - h)² + k.

Front

What are the solutions (roots) of a quadratic function?

Back

The solutions, also known as roots or zeros, are the x-values where the graph intersects the x-axis.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Front

What is the range of a quadratic function that opens upwards?

Back

The range is the set of all y-values that the function can take, typically starting from the y-coordinate of the vertex to infinity.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the quadratic equation equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

Front

What does it mean for a quadratic function to have two real solutions?

Back

It means the graph of the function intersects the x-axis at two distinct points.

Front

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

Back

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you determine the range of a quadratic function that opens downwards?

Back

The range is from negative infinity up to the y-coordinate of the vertex, represented as (-∞, k] where k is the y-coordinate of the vertex.