Respuesta :

Answer

y = -|x-1|+3

It's reflected over the x-axis (facing down) so there's a negative sign in front of the function. It's shifted to the right one unit so it's |x - 1|. Finally, it's shifted up 3 units so on the outside of the bracket it'll be +3.

Answer:

[tex]y = -|x - 1|+3[/tex]

Step-by-step explanation:

Hello!

If the graph is opening downwards, it means that the equation has a negative value in front of the absolute value bracket.

Absolute Value Form: [tex]y = a|x - h| + k[/tex]

  • The "a" value is -1, as the graph opens down.
  • The x-value of the vertex goes into h, while the y-value goes into k.
  • The vertex is at (1,3), the "turning point" of the graph.

Equation: [tex]y = -|x - 1|+3[/tex]