Respuesta :

y=x^2-8x+16-3=(x-4)^2-3
Ver imagen gayanepoghosyan

Answer:

Step-by-step explanation:

From the given x^2 - 8x + 13 we can find several points to graph to represent this quadratic function.

The y-intercept is (0, 13) and stems from letting x = 0.

                                                 b

The axis of symmetry is x = - -----

                                                 2a

                                                                                    -8

Since a = 1 and b = -8, the axis of symmetry is x = - ------- = 4

                                                                                      2(1)

and so the vertex is at (4, 4^2 - 8(4) + 13), or (4, -3)

If you want to go the extra mile, find the roots of the given equation.  These are also your x-intercepts.  One such intercept is (2. 0).  

Plot these points and draw a smooth curve through them.

Hint:  the parabolic graph opens up.