Focus & Directrix with Vertex (0,0)

Front

The focus is a _____ that always lies _______ your parabola.

Back

point/inside

Front

Which of the following is standard form of a quadratic equation?

Back

y=ax²+bx+c

Front

The directrix is a _______ that always lies ________ your parabola.

Back

line/outside

Front

Find the vertex, focus, and directrix of the parabola: x² = 28y

Back

Vertex: (0, 0) Focus: (0,7) Directrix: y=-7

Front

Does y = -4x² have a maximum or minimum value?

Back

maximum

Front

What is the definition of a parabola?

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

Front

What is the vertex of a parabola in standard form y = ax² + bx + c?

Back

The vertex is at the point (-b/2a, f(-b/2a)).

Front

What does the parameter 'a' in the equation y = ax² represent?

Back

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

Front

What is the relationship between the focus and directrix of a parabola?

Back

The focus is a point inside the parabola, and the directrix is a line outside the parabola, such that any point on the parabola is equidistant from both.

Front

How do you find the focus of a parabola given in the form x² = 4py?

Back

The focus is at (0, p).