College Algebra

Here is the whole question... I have figured most of it out but I need help with part (b)(f) and (g)... Maybe you also check the work I have already done

Given the following function, find:
(a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range,
(f) intervals where the function is increasing,
(g) intervals where the function is decreasing, and

f(x)=-x^2+2x+3

here's my work

y=-x^2+2x+3

y=-1(x^2-2x+1)-1(-3)-(-1)(0+1)
y=1(x^2-2x+1)-1(-3)-(-1)(1)
y=-1(x-1)^2-1(-3)-(-1)(1)
y=-1(x-1)^2+3-(-1)(1)
y=-1(x-1)^2+3+1
y=-1(x-1)^2+4
y=a(x-h)^2+k
a=-1 k=4 h=1
Vetex=(1,4)
axis of symmetry=

(0)=-x^2+2x+3
-x^2+2x+3=0
x^2-2x-3=0
(x+1)(x-3)=0
x=-1,3

y=-(0)^2+2(0)+3
y=-(0)+2(0)+3
y=0+0+3
y=3

-x^2+2x-f(x)=0
-x^2*-1+2x*-1+3*-f(x)*-1=0*-1
x^2-2x+f(x)-3=0*-1
x^2-2x+f(x)-3=0
a=1 b=-2 c= 1f(x)-3

x=-(2)¡À¡Ì((-2)^2-4(1)(1fx)-3)/(2(1))
x=2¡À2 ¡Ì(4-f(x))/2
x=1+¡Ì(4-f(x)
x=2-2¡Ì(4-f(x))/2
x=1+¡Ì(4-f(x), x=1-¡Ì(4-f(x)
(4-f(x))<0
f(x)>4
=f(x)¡Ü 4 (-¡Þ,4] range

domain= all real numbers

asked by Sunny
  1. deja tienen el sexo en su casa y frotaré su vajina

    you just have to translate it and you will see

    posted by Anonymous

Respond to this Question

First Name

Your Response

Similar Questions

  1. College Algebra

    A quadratic function has its vertex at the point (-9,8). The function passes through the point (9,4). When written in vertex form, the function is f(x)= a(x-h)^2 +k, where a) h)-9 k)8 4=a(9)^2+8 4=a(9+9)^2+8 4=a(18)^2+8 4=a(332)
  2. Algebra Functions

    I cannot for the life of me remember how to do this- Find the vertex of the graphs of the functions: Function #1: y=(x-4)(x+2) AND Function #2: y=2x^2-4x+1 Can someone help me get it PLz! OK - to find the vertex of these functions
  3. college algebra

    for the given function f&g, find the following and state the domain of each result f(x)=2x+1/9x-5; g(x)4x/9x-5 a.(f+g)(x)= what is the domain? b.(f/g)(x)= what is the domain? please show work answer the following for the given
  4. college algebra

    determine the quadratic function f whose graph is given. the vertex is (1,-3) y intercept is -2 please show work so i can see how this is done, thank you!
  5. 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
  6. College Algebra

    The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,4) and passes the point (0,2). Find the quadratic function y=a(x-(-2))^2+4 y=a(x+2)+4 2=a(x+2)+4 -4 -4 -2=a(0+2)/2 -1+ a function -1(x+2)+4 ? Im not
  7. algebra

    For the quadratic function f(x) = - x^2 +2x + 6, find the vertex and the axis of symmetry, and graph the function. Again, I need help with this as these are practice examples for an upcoming quiz and I stink at this part of
  8. 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
  9. 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)
  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, and g. the interval where the function is decreasing

More Similar Questions