College Math

posted by .

Find the vertex and axis of symmetry of the graph of a function.

f(x)=x^2+6x+16

  • Math -

    f(x) = x^2+6x+16
    = x^2 +6x +9 +3
    = (x+3)^2 +3

    The vertex (lowest point) is x= -3, y = 3. That is because (x+3)^2 can never ne negative.
    It is symmetrical about the x=-3 vertical line.

  • College Math -

    f(x) = x^2 + 6x + 16.

    h = Xv = -b / 2a = -6 / 2 = -3,

    Substitute -3 for x in the given Eq:
    k = Yv = (-3)^2 + 6*-3 16,
    k = 9 - 18 + 16 = 25 - 18 = 7,

    V(h , k) = V(-3 , 7).

    Axis: h = Xv = -3. = A vertical line
    where x isconstant at -3 for all values of y.

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. 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
  3. 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?
  4. college algebra

    graph the function and state the vertex axis of symmetry, the intercepts, if any: f(x)=x^2-8x+15 Please show work so i can understand this. thank you
  5. college algebra

    given the folowing quadratic equations find the vertex the axis of symmetry the intercept the domain the range the interval where the function is increasing andthe interval where the function is decreasing graph the function y=X^2+4x
  6. college algebra

    Given the following quadratic equation, find a. the vertex b. the axis of symmetry c. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing …
  7. College Algrbra

    Given the following quadratic equation, find a. the vertex b. the axis of symmetry. the intercepts d. the domain e. the range f. the interval where the function is increasing, and g. the interval where the function is decreasing h. …
  8. math-please help,need quickly

    find the slant asymptote of the graphof the rational function. 1.f(x)=x^2-x-2/x-7 y=?
  9. college algebra

    Given the following quadratic equation, find;?
  10. College algebra

    Given the following quadratic equation find. a) the vertex b) the axis of symmetry c) the intercepts d) the domain e) the range f) the interval where the function is increasing g) the interval where the function is decreasing h) graph …

More Similar Questions