Conic Parabolas (10.1)

Front

What is the focus of a parabola?

Back

The focus is a point inside the parabola that is 'p' units from the vertex.

Front

What is the vertex of the parabola given by the equation x² = 28y?

Back

The vertex is (0, 0).

Front

What is the focus of the parabola x² = 28y?

Back

The focus is (0, 7).

Front

What is the directrix of the parabola x² = 28y?

Back

The directrix is y = -7.

Front

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

Back

The value of p is -2.

Front

What is the equation of the parabola with vertex (3, 1) and opens to the left?

Back

The equation is (y - 1)² = -4(x - 3).

Front

What is the equation of the parabola with vertex (-3, -1) and opens to the right?

Back

The equation is (y + 1)² = 4(x + 3).

Front

What is the domain of the parabola y = 6(x - 4)² - 1?

Back

The domain is all real numbers.

Front

What is the range of the parabola y = 6(x - 4)² - 1?

Back

The range is y ≥ -1.

Front

What is the axis of symmetry of a parabola?

Back

The axis of symmetry is a line that divides the parabola into two mirror-image halves.