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.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

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

Tags

CCSS.HSF-IF.C.7C

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.

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

The parabola opens upwards.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

The parabola opens downwards.

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.HSF-IF.C.7A

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)).