Unit 2B #5-- Intercept Form

Front

What is the intercept form of a quadratic function?

Back

f(x) = a(x - p)(x - q), where p and q are the x-intercepts.

Front

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

Back

Set f(x) = 0 and solve for x in the equation a(x - p)(x - q) = 0.

Front

What are the x-intercepts of the function g(x) = (x - 4)(x + 9)?

Back

(4,0) and (-9,0).

Front

What is the axis of symmetry for a parabola in intercept form?

Back

The axis of symmetry is x = (p + q) / 2, where p and q are the x-intercepts.

Front

What does the parameter 'a' represent in the intercept form of a quadratic function?

Back

The parameter 'a' determines the direction and width of the parabola.

Front

If a > 0 in the intercept form, what direction does the parabola open?

Back

The parabola opens upwards.

Front

If a < 0 in the intercept form, what direction does the parabola open?

Back

The parabola opens downwards.

Front

How can you convert from standard form to intercept form?

Back

Factor the quadratic equation into the form a(x - p)(x - q).

Front

What is the significance of the x-intercepts in a quadratic function?

Back

The x-intercepts are the points where the graph intersects the x-axis, indicating the solutions to f(x) = 0.

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)).