How could I graph these equations?

Question

I'm stuck and unaware how to graph these absolute values.

              

                                                                                         | = Absolute values

Graph the following          ( You can just give coordinates)

 

 

y= | -2(x-1)²+5 |

 

and...

 

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

 

 

Thank you so much!

 

Answer 1

For the first one:

Downward facing parabola, vertex (1, 5), y-intercept (0, 3), roots (1±√(5/2), 0).

For x < 1 - √(5/2) graph is reflected over the x-axis. Same for the other root.

 

Do the same process for the second equation.