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

Answer:

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.