Respuesta :

Answer:

*See attached image for the 5 points on the graph*

Step-by-step explanation:

Step 1: Find 5 points to calculate inverse

We can use the vertex(-1,-4), 2 y-intercepts(0,-3) and (0,-5) and 2 more points (3,-2) and (3,-6)

Step 2: Find the inverse

You find the inverse when you swap the 'x' and 'y' so it would be

Vertex: (-4,-1)

y-intercept 1:(-3,0)

y-intercept 2:(-5,0)

Point 1: (-2,3)

Point 2: (-6,3)

Step 3: Graph

Graph the points on a graph and connect the points

Ver imagen 9ca5r82

The inverse of a graph is done by reflecting the graph across the line [tex]y = x[/tex].

See attachment for the inverse graph.

From the given graph, we have the following 5 points.

[tex](x_1,y_1) = (8,-1)[/tex]

[tex](x_2,y_2) = (3,-2)[/tex]

[tex](x_3,y_3) = (-1,-4)[/tex]

[tex](x_4,y_4) = (3,-6)[/tex]

[tex](x_5,y_5) = (8,-7)[/tex]

Reflect the above points across [tex]y = x[/tex], to get the inverse function

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (-2,3)[/tex]

[tex](x_3,y_3) = (-4,-1)[/tex]

[tex](x_4,y_4) = (-6,3)[/tex]

[tex](x_5,y_5) = (-7,8)[/tex]

The inverse graph must pass through the above points

See attachment for the inverse graph

Read more about inverse graphs at:

https://brainly.com/question/11033643

Ver imagen MrRoyal