# ALG. REPOST TYPO

Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation.
x = −1/3y^2+4

vertex
(x, y) =

axis of symmetry

Sketch the graph.

1. 👍 0
2. 👎 0
3. 👁 228
1. recall that the vertex of

x-h = a(y-k)^2

is at (h,k). Look at your function and you see that

x-4 = -1/3 (y-0)^2

so the vertex is at (4,0)

Now use your knowledge that the vertex lies on the axis of symmetry, and you're almost home free.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### pre-calculus

x^2+6x+8y=7 Find the: Direction: Vertex: Focus: Axis of Symmetry: Directrix:

2. ### Algebra

An engineer designs a satellite dish with a parabolic cross section. The dish is 10 ft wide at the​ opening, and the focus is placed 8 ft from the vertex. ​a) Position a coordinate system with the origin at the vertex and

3. ### AlgebraB-2

1. What are the coordinates of the vertex of the graph? Is it a maximum or minimum? 3. How is the graph of y = –2x2 – 4 different from the graph of y = –2x2? (1 point) 4. Graph the function. Identify the vertex and axis of

4. ### pre cal

What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y = 0 2.Which one of the following equations represents a hyperbola? (5 points) A) 3x^2 + y^2 + 12x - 7 = 0 B) 3x^2 + 3y^2 + 12x - 7 = 0 C) 3x^2 + y + 12x - 7 =

1. ### 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

2. ### calculus

write the vertex form equation of each parabola. 1) Vertex:(-5,8), Focus:(-21/4, 8) 2) Vertex:(-6,-9), Directrix: x= 47/8 3)Vertex(8,-1) y- intercept: -17 4) Open left or right, Vertex: (7, 6), passes through:(-11,9)

3. ### algebra

What are the vertex, axis of symmetry, maximum or minimum value, and range of y=-5(x+2)^2-8? please explain to me how you would solve this..I don't really understand. The answer is given.. The vertex is (-2, -8); the axis of

4. ### Algebra

Graph the quadratic equation y = x^2 + x – 2. Identify the axis of symmetry and the vertex.

Determine the x intercepts, y intercept, equation of the axis of symmetry and vertex for each of the following functions, 1.) f(x)= 3(x-2)^2-6 with zeros of 0.59 and 3.41 2.) g(x)= (x-4)(x+7)

2. ### Math

1. Which of the following tables of values is correct for the equation y equals negative 3 x squared? 2. Find the horizontal change and the vertical change for the translation 3. The point C(3, –1) is translated to the left 4

3. ### Pre Cal

write the equations of the parabola, the directrix, and the axis of symmetry. vertex: (-4,2) focus: (-4,6) if someone could explain how to do this problem then that would be great! thanks in advance! Formats to help you find the

4. ### 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