Question

graph: q(x)=-2/x+3)+1 Make sure that you are labeling every single part. Take your time. This is the reason why I am assigning one problem as a homework.

Answer 1

Here, we want to plot the graph of the given absolute value equation

As we shall be considering the positive and negative values of the expression inside the lines (x+3), this plot will usually take a v shape, coming out from a certain point

The plot is shown below;

As we can see from the plot, we have two x-intercepts (the points at which the plot touches the x-axis), 1 tip (vertex) and 1 y-intercept (the point at which the graph touches the y-axis)

The labelings are as follows;

x-intercept 1; (-3.5,0)

x-intercept 2; (-2.5,0)

y-intercept; (0,-5)

Vertex; (-3,1)