Please help me due today!!

please only answer if you know.

questions 1-4

Step-by-step explanation:

From the given equations of the function,

1). f(x) = x² + 4x + 3

         = x² + 2(2x) + 4 - 1

   f(x) = (x + 2)² - 1

   This is in the vertex form of a parabola [y = (x - h)² + k]

   Here, (h, k) is the vertex of the parabola.

   By comparing both the equations of the parabola,

   (-2, 1) will be the vertex.

   Table for input - output values,

   x intercepts → (x + 2)² + 1 = 0

                            (x + 2) = ±1

                            x = -2 ± 1

                            x = -3, -1

    Line of symmetry → x = -3

    y-intercept of the graph, x = 0

                            y = (0 + 2)²- 1

                               = 4 - 1

                            y = 3

2). f(x) = x² - 6x + 11

          = x² - 2(3x) + 9 + 2

          = (x - 3)² + 2

     By comparing the equation of the function with the vertex form of the parabola,

    (3, -2) is the vertex.

     Line of symmetry → x = 3

     x-intercept → (x - 3)² + 2 = 0

                            (x - 3) = ±√(-2)

                             x = 3 ± √(-2)  [Imaginary number]

      Therefore, NO y-intercept.

      y-intercept → y = 0 - 6(0) + 11 = 11        

3). f(x) = -x² + 2x - 2

          = -[x² - 2x + 2]

          = -[x² - 2(1.x) + 1 - 1] - 2

          = -[(x - 1)²- 1] - 2

          = -(x - 1)²- 1

By comparing this equation with the vertex form of the equation,

(1, -1) is the vertex.  

x - intercepts → y = -(x - 1)²- 1 = 0

                         (x - 1) = ±√(-1)

                         x = 1 ± √(-1) [Imaginary numbers]

Therefore, no x-intercepts.

y-intercept → y = -(0 - 1)² + 3

                     y = 2

4). y =

    y =

    y =

    y =

    y =

    y =

   Vertex → (4, -3)

   Line of symmetry → x = 4

   x - intercepts → x = 4 ± √6

                             x = 1.55, 6.45

   y - intercepts → y = 5

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )