Alg2 - Focus/Directrix and Systems

Front

What is the vertex of the parabola: 20(y+3)=(x-7)²?

Back

(7,-3)

Front

If the directrix is y = 4 and the focus is at (3, 0), what is the value of p?

Back

-2

Front

Determine the vertex of the parabola x=5(y-2)²–7.

Back

(-7, 2)

Front

If the directrix is y = 4 and the focus is at (3, 0), what is the coordinate of the vertex?

Back

(3, 2)

Front

What is the vertex of the quadratic function: y=1/2(x-3)²+8?

Back

(3,8)

Front

Define the focus of a parabola.

Back

The focus is a fixed point located inside the parabola where all the reflected rays converge.

Front

Define the directrix of a parabola.

Back

The directrix is a fixed line used in the definition of a parabola, which is equidistant from the focus.

Front

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

Back

The vertex is the midpoint between the focus and the directrix.

Front

How do you find the vertex of a parabola given its equation in standard form?

Back

For y = a(x-h)² + k, the vertex is (h, k). For x = a(y-k)² + h, the vertex is (h, k).

Front

What is the standard form of a parabola that opens upwards?

Back

y = a(x-h)² + k, where (h, k) is the vertex.