Intermediate Algebra

posted by .

For the quadratic equation y=(x-3)^2-2. Determine: A) whether the graph opens up or down; B) the y-intercept; C)the x-intercepts; D) the points of the vertex. and D) graph the equation with at lease 10 pairs of points.

  • Intermediate Algebra -

    Vertex Form: Y = a(x-h)^2 + k.

    A. The parabola opens upward because "a"
    is positive.

    B. Y = (x-3)^2 - 2.
    Let X = o and solve for Y:
    Y = (0-3)^2 - 2 = 7. = Y-int.

    C. Let Y = 0 and solve forX:
    Y = (x-3)^2-2 = 0.
    (x-3)^2 = 2
    Take sgrt of both sides:
    x-3 = +-sqrt2
    X = +-1.414 + 3 = 4.14, and 1.59. = X-intercepts.

    D. V(h,k) = V(3,-2).

    E. Select values of X below and above
    h and calculate the corresponding value of Y.

    (x,y). Y = (x-3)^2 - 2.
    (-2,23)
    (-1,14)
    (0,7)
    (1,2)
    (2,-1)
    V(3,-2)
    (4,-1)
    (5,2)
    (6,7)
    (7,14)
    (8,23).

  • Intermediate Algebra -

    for the quadratic equation y=(x-3)^2-2 determine A) weather the graph opens up or down B) the y- intercept; C) the x intercept D) the points of the vertex and E ) graph the equation with at least 10 pairs of points

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    what would a graph look like if.. y= (3/4)x + 2 and the domain is... x = {-8,-4,0,4,8} would it be discrete or continous?
  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. Quadratic Functions

    Please explain to me how to do the following problems, I don't understand them. Thanks! Find the x-intercepts (if any) for the graph of the quadratic function. 1.f(x) = (x + 2)2 - 4 Find the y-intercept for the graph of the quadratic …
  5. Algebra

    graph the equation x-3=y (where do I plot the points?
  6. Intermediate Algebra

    For the quadratic equation y=(x-3)^2-2. Determine: A) whether the graph opens up or down; B) the y-intercept; C)the x-intercepts; D) the points of the vertex. and D) graph the equation with at lease 10 pairs of points.
  7. algebra

    Create your own quadratic equation that has an axis of symmetry of x = −1 and whose graph opens down. Then find the vertex, domain, range, and x-intercepts. Show all work to receive full credit.
  8. Algebra 2

    These 3 equations all describe the same quadratic function. What are the coordinates of the following points on the graph of the function?
  9. College Algebra

    take the indicated quadratic inequality x^2−13x+36≤0 A)determine the type of graph B)does it go up or down C) the size D)graph the equation E)define the vertex F)X -intercept G) Y-intercept H)focal point
  10. College Algebra

    take the indicated quadratic inequality x^2−13x+36≤0 A)determine the type of graph B)does it go up or down C) the size D)graph the equation E)define the vertex F)X -intercept G) Y-intercept H)focal point

More Similar Questions