posted by .

where is the vertex of the graph of y=x2+6x-2?

  • math -

    complete the square:
    = x^2 + 6x + 9 - 9 -2
    = (x+3)^2 - 11

    so the vertex is (-3,-11)


    for y = ax^2 + bx + c, the x value of the vertex is -b/(2a)
    sub that back in the original equation to get the y of the vertex.
    x of vertex = -6/2 = -3
    y = (-3)^2 + 6(-3) - 2 = -11

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Write an equation for the translation so the graph has the given vertex. 1. y=-|x| vertex (-5,0) 2. y=2|x| vertex (-4,3) 3. y=-|x| vertex (p,q) I really have no idea how to even begin these, but I do know the answer to # 2 is y=2|x|+11 …
  2. algebra II

    Can you please help me with the these problems. 8.Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 11x^2, but which has its vertex at (2, 9). 10. Use the vertex and intercepts to sketch …
  3. Algebra

    Identify the vertex and the axis of symmetry for the graph of y=5(x-2)^2 + 3. a) vertex (2,3); x = -2 b) vertex (-2,-3); x = 2 c) vertex (2,3); x = 2 d) vertex (-2,-3); x = -2 I have no idea how to solve this problem! Please help. …
  4. Math

    y=-3x^2+6x-2 Sketch the graph of the given porabola and state the coordinance of its intercepts. I can graph it if I can get some help with the vertex and coordinance. This is what I got; vertex:(1,1) x-intercept:(-1.6,.-4), and y-intercept:(0,-2). …
  5. Math

    y = |x − 4| + 8 Find the x-coordinate of the vertex of the graph. And the y-coordinate of the vertex of the graph. Please help me, I'm stuck!
  6. pre-calculus

    Give the coordinates of the vertex and graph the equation in a window that includes the vertex. y=(x+8)²-9. I know how to graph just not how to do the problem. HELP!
  7. AlgebraB-2

    1. What are the coordinates of the vertex of the graph?
  8. heelp math

    A graph is constructed iteratively according to the following algorithm. The graph starts as a single vertex. With probability p, the graph stops here. Otherwise, 3 new vertices are constructed and joined to this vertex. If we have …
  9. Math

    For a quadratic with a vertex of (4, 1) with the graph opening downward, is this the right construction in vertex form?
  10. Math(Reiny Could You Help?)

    The graph of the function g(x) has the same shape and direction of opening as the graph of f(x)= 3(x-2)^2+9. The graph of g(x) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x). A.) Determine …

More Similar Questions