A2 12-5 Focus, Directrix & Parabola Transformations

Front

The mini formula we use to find the value of P is ___________.

Back

Front

Write an equation of the parabola with the given characteristics: Focus: (3, 5), Vertex: (3, -1)

Back

Front

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

Back

(-5, -4)

Front

The A.O.S. for the parabola y = 3(x-6)² + 4 is ______.

Back

x = 6

Front

What steps transform the graph y = x² to y = 2(x+2)² - 5?

Back

Stretch by 2, shifted 2 units left and 5 down

Front

Define 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?

Back

The vertex is the highest or lowest point on the parabola, depending on its orientation.

Front

What does the focus of a parabola represent?

Back

The focus is a fixed point located inside the parabola that helps define its shape.

Front

What is the directrix of a parabola?

Back

The directrix is a line perpendicular to the axis of symmetry of the parabola, used in its definition.

Front

How do you find the axis of symmetry (A.O.S.) of a parabola given its equation?

Back

The A.O.S. can be found using the formula x = -\frac{b}{2a} for the standard form y = ax² + bx + c.