abbyharris222 abbyharris222
  • 15-05-2017
  • Mathematics
contestada

Which is the graph of the function f(x) = x2 + 2x + 3?

Respuesta :

irspow
irspow irspow
  • 15-05-2017
dy/dx=2x+2

So velocity will be zero when 2x+2=0, x=-1

Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.

y(-1)=1-2+3=2

So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.

And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)
Answer Link
cyndis322
cyndis322 cyndis322
  • 27-06-2018
its the first answer on e2020 :D
Answer Link

Otras preguntas

The main goal of the Jesuits was to?
Ms groves had trays of paint each tray has five colors one of the colors is purple.what fraction of the colors in 20 trays is purple
What is   a quarter past 5 mean
In the sentence   The football players train for the big game.    what part of speech is train                            The train sped over the tracks.
Explain how you know that 7/12 is greater than 1/3 but less than 2/3?
Ms groves had trays of paint each tray has five colors one of the colors is purple.what fraction of the colors in 20 trays is purple
8x+15=3x-20 how do you do this
How to find greatest common factor  45 and 81
In the sentence   The football players train for the big game.    what part of speech is train                            The train sped over the tracks.
The message of the DNA Code is information for building_______.