Quadratic Functions - Intercept Form

Front

What is the intercept form of a quadratic function?

Back

The intercept form of a quadratic function is expressed as f(x) = a(x - p)(x - q), where p and q are the x-intercepts.

Front

How do you find the axis of symmetry for a quadratic function in intercept form?

Back

The axis of symmetry can be found using the formula x = (p + q) / 2, where p and q are the x-intercepts.

Front

What are the x-intercepts of the function f(x) = 3(x - 2)(x + 1)?

Back

The x-intercepts are (2, 0) and (-1, 0).

Front

What does the 'a' value in the intercept form of a quadratic function indicate?

Back

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

Front

What is the vertex of a parabola in intercept form?

Back

The vertex can be found at the point ( (p + q) / 2, f((p + q) / 2) ), where p and q are the x-intercepts.

Front

How do you determine the y-intercept of a quadratic function in intercept form?

Back

The y-intercept can be found by evaluating f(0) in the function f(x) = a(x - p)(x - q).

Front

What is the significance of the axis of symmetry in a parabola?

Back

The axis of symmetry divides the parabola into two mirror-image halves and passes through the vertex.

Front

If a quadratic function has x-intercepts at (3, 0) and (-2, 0), what is the equation in intercept form?

Back

The equation is f(x) = a(x - 3)(x + 2), where 'a' is a non-zero constant.

Front

How can you find the maximum or minimum value of a quadratic function in intercept form?

Back

The maximum or minimum value occurs at the vertex, which can be found using the axis of symmetry.

Front

What is the relationship between the x-intercepts and the roots of a quadratic equation?

Back

The x-intercepts of the graph correspond to the roots of the quadratic equation, where the function equals zero.