Algebra II

posted by .

Identify the vertex, axis of symmetry, and direction of opening for y=2(x+3)^2-5

y = |2x+3|^2-5
h = 3
k = -5

vertex = (3,-5)
axis of symmetry = x = 3
direction = up b/c a = 2 and 2>0

  • Algebra II -

    y = 2 (x+3)^2 - 5
    (x+3)^2 = (1/2)(y+5)
    (x+3)^2 = 4 (1/8) (y+5)
    vertex (-3,-5)
    symmetric about x = -3
    indeed opens up because a = +1/8, check as x becomes very positive or very negative, y gets big positive

  • Algebra II(can you explain) -

    I don't understand what you did after the 1st line.

  • Algebra II -

    Hmmm
    I know, and I bet it is in your book, that
    a formula of type:
    (x-h)^2 = 4 a (y-k)
    is a parabola with vertex at (h,k)
    a is the distance from vertex to focus and from vertex to directrix
    if a is +, opens up. if a is -, opens down

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)Find the exact solutions to 3x^2=5x-1 using the quadratic formula. answer=5 plus or minus the square root of 37 over 6 2)Use the discriminant to determine the number and type of roots for the equation 2x^2-7x+9=0 answer=2 complex …
  5. Algebra II

    Identify the vertex, axis of symmetry, and direction of opening for y=2(x+3)^2-5. vertex = 1/2 axis = 1/2 direction = up
  6. Troy

    Can someone check my answers for the following problems. Simplify. Assume that no denominator equals 0. 1)(7x^2+3x-9)-(-x^2+8x-3) answer: 6x^2-5x-6 2) 5x^3(7x)^2 answer: 245x^5 3) (2x-3)^2 answer: 4x^2-9 4) Use synthetic division to …
  7. 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. …
  8. Pre Cal.

    1. Identify the conic section represented by: 9y^2+4x^2 - 108y+24x= -144?
  9. math

    1 identify the coordinates of the vertex and the equation of the axis of summetry of the parabola x=2 (y-1)^2+3 A. The vertex of the parabola is (1,3), and the equation of the axis of symmetry B. the vertex of the parabola is (3,1) …
  10. Algebra

    All parabolas are symmetric with respect to a line called the axis of symmetry. A parabola intersects its axis of symmetry at what point?

More Similar Questions