Question

11.

Which equation is represented by the graph?
y=-x+1+3
y = -x - 3+1
y = -x + 3+1
y=-|x-1|+3

Answer 1

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 2

`y = -|x - 1|+3`

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:
`y = a|x - h| + k`

• 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:
`y = -|x - 1|+3`