Parts of a quadratic

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function.

Front

Define Axis Of Symmetry.

Back

A line that divides the graph into two equal parts, cutting the graph in half.

Front

What are the coordinates of the y-intercept?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, y).

Front

What is the equation for the axis of symmetry?

Back

The equation for the axis of symmetry is x = -b/(2a) for a quadratic in the form ax^2 + bx + c.

Front

A line about which a figure is symmetric is the _____________________.

Back

Axis of Symmetry.

Front

What is a quadratic function?

Back

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

Front

What does the 'a' in a quadratic function represent?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the significance of the 'b' in a quadratic function?

Back

The 'b' value affects the position of the vertex along the x-axis and the axis of symmetry.

Front

What does the 'c' in a quadratic function represent?

Back

The 'c' value represents the y-intercept of the quadratic function.

Front

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

Back

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