Question

Which direction would the graph of y=|x-4|+3 open

Answer 1

it opens up because it is an absolute value equation that has not been reflected across the x axis

Answer 2

Our given function opens upwards.

Step-by-step explanation:

We have been given a function formula
`y=|x-4|+3`. We are asked to find the direction of our given graph.

We know that standard form of an absolute function is in form
`y=a|x-h|+k`, where, 'a' represents direction of function.

If
`a<0`, then absolute function opens downwards.

If
`a>0`, then absolute function opens upwards.

`(h,k)` = Vertex of absolute value function.

Upon looking at our given function, we can see that
`a=1` and
`1>0`, therefore, our given function opens upwards.