Astronomy consider a satellite dish like the one described at the beginning of the lesson. the focus is 6 feet above the vertex
and the latus rectum is 24 feet long. a. assume that the focus is at the origin. write an equation for the parabola formed by the satellite dish. answer
Write each equation in standard form. Identify
the vertex, axis of symmetry, and direction of
opening of the parabola.
1.
ANSWER:
; vertex
(6, –32); axis of symmetry:
x = 6; opens upward
2.
ANSWER:
; vertex
(1, –7); axis of symmetry:
x = 1; opens upward
3.
ANSWER:
; vertex
(–27, 4); axis of symmetry:
y = 4; opens right
4.
ANSWER:
; vertex
(30, –2); axis of symmetry:
y = –2; opens left
Graph each equation.
