# algebra

posted by .

1) graph 4x^2+4y^2=64. what are the domain and range?

domain;all real numbers
range;-4<=4<=4

2) graph 4x^2+y^2=9. what are its lines of symmetry?

it has two lines of symmetry, the x axis and the y axis

3) graph -3x^2+12y^2=84. what are the domain and range?

domain; all real numbers
range; {y[y<=-sqrt7 or y>= sqrt7}

4) identify the center and intercepts of the conic section. then find the domain and range.

the center of the circle is (0,0)
the x intercepts are (6,0) and (-6,0)
the y intercepts are (0,6) and (0,-6)
the domain is {x[-6<=x<=6}
the range is {y[-6<=y<=6}

5) write an equation of a parabola with a vertex at the origin and a directrix at y=5.

y=-1/20x^2

6) what are the focus and the directrix of the graph of x=1/24y^2?

focus(6,0)
directrix x=-6

## Similar Questions

1. ### algebra

Find the domain and range of the function. 1. f(x)= x^2-x I got: Domain= All Real Numbers Range= All Real Numbers > -1 (with a line under the greater than sign) 2. f(x)= 1-x^2 I got: Domain= All Real Numbers Range= All Real Numbers …
2. ### Algebra

23. The ___ axis represents the independent variable. X?
3. ### algebra

the equation is f(x) = (1/sq. root of 1-x^2) 1. f(x) is never zero. 2. 0 is in the domain of f 3. All negative real numbers are in the domain of f 4. All positive real numbers are in the domain of f 5. 1 is in the domain of f 6. f(x) …
4. ### Algebra 2

3. Identify the vertex and the axis of symmetry of the graph of the function y = 3(x + 2)2 – 3. (1 point) A- vertex: (2, –3); axis of symmetry: x = 2 B- vertex: (–2, –3); axis of symmetry: x = –2 C- vertex: (2, 3); axis of …
5. ### algebra

Can someone check my answers on exploring conic sections?
6. ### URGENT ALGEBRA 2

identify the vertex and the axis of symmetry of the graph for the function y=3(x+2)^2 a.vertex(2,-3 axis of symmetry x=2 b.vertex(-2,-3) axis of symmetry x=-2 c.vertex(2,3) axis of symmetry x=2 d.vertex(-2,3) axis of symmetry x=-2 …
7. ### algebra can someone help my buddy ray out

identify the vertex and the axis of symmetry of the graph for the function y=3(x+2)^2 a.vertex(2,-3 axis of symmetry x=2 b.vertex(-2,-3) axis of symmetry x=-2 c.vertex(2,3) axis of symmetry x=2 d.vertex(-2,3) axis of symmetry x=-2 …
8. ### algebra

Find the domain and range of the relation and determine whether it is a function?