Post a New Question

algebra (parabolas)

posted by .

tell whether the graph opens upward or downward. then find the axis of symmetry and vertex of the graph of the function

1. y=xsquared-5
2. y=-2*xsquared+6x+7

  • algebra (parabolas) -

    x^2 = (y + 5)
    when x gets big, y gets big, opens up (holds water)
    symmetric about y axis (x = 0)
    vertex at (0,-5)

    2 x^2 - 6 x = - y + 7

    x^2 - 3 x = -(1/2)y + 7/2

    add (3/2)^2 = 9/4 to both sides
    x^2 -3 x +9/4 = -(2/4)y + 23/4
    (x-3/2)^2 = -(1/4)(2y-23)
    axis at x = 3/2
    vertex at (3/2 , 23/2)
    when x gets big, y gets big negative. Opens down (sheds water)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math help,algebra

    Okay this is what i have to do but i think i am doing something wrong. directions are: Identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry). The problem is: y = -x^2+6x-2 …
  2. Algebra,Math, graphs help

    This is what the directions state to do: (A) Complete the table,(B)describe the resulting graphs by identifying the vertex point, (c) the graph’s direction, (d) and any axis intercepts gleaned from the table or graph. Problem #1 …
  3. math, algebra,graphs help

    THe directions state: (A)Complete the table, (B) describe the resulting graphs by identifying the vertex point, (C)the graph’s direction, (D) and any axis intercepts gleaned from the table or graph Problem #3 Equation : y = 2x^2 …
  4. ALGEBRA 1

    Please check for me.Without drawing the graph of the given equation determine (a)how many x-intercepts the parabola has (b)whether it vertex lies above, below or on the axis. 1. y=x^2-5x+6 I use the determinant sqrt b^2 -4ac (-5)^2-4(1)(6))=1 …
  5. ALGEBRA 1

    Please check for me.Without drawing the graph of the given equation determine (a)how many x-intercepts the parabola has (b)whether it vertex lies above, below or on the axis. 1. y=x^2-5x+6 I use the determinant sqrt b^2 -4ac (-5)^2-4(1)(6))=1 …
  6. algebra (parabolas)

    find the axis of symmetry and vertex of the function. tell whether it goes upward or downward. y=3*xsquared+6x-2
  7. algebra (parabolas)

    find the axis of symmetry and vertex of the function. tell whether it goes upward or downward. 1. y=-xsquared+9 2. y=-2xsquared=7x-21
  8. Math; Please Help!o:

    Tell whether the graph opens upward or downward. Then find the axis of symmetry and vertex of the graph of the function. y=-1/4x^2-24
  9. College Algebra

    1.Answer the following for the given quadratic function. f(x) = -2x^2 - 8x - 13 (a) does the graph of f open up or down?
  10. Algebra

    Tell whether the graph opens up or down. Find the coordinates of the vertex. Write an equation of the axis of symmetry. Y=3x^2 The graph opens up but I don't get how you would find the coordinates of vertex and how to write the equation …

More Similar Questions

Post a New Question