Inverses Unit Online Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade. 
1 of 241 of 24 Items
Question
Use the image to answer the question.

An inverted parabola is plotted on a coordinate plane with both axes ranging from 0 to 8 in increments of 0.5.

The graph of a quadratic function f(x)
is shown. Which of the following are the coordinates of the vertex on the inverse of f(x)
?

(1 point)
Responses

(7,4)
left parenthesis 7 comma 4 right parenthesis

(−4,7)
left parenthesis negative 4 comma 7 right parenthesis

(4,−7)
left parenthesis 4 comma negative 7 right parenthesis

(−7,−4)
left parenthesis negative 7 comma negative 4 right parenthesis
Remaining Attempts : 3
Skip to navigation

Answer 1

To find the coordinates of the vertex of the inverse of the function $f(x)$, we need to remember that the vertex of the inverse function is obtained by swapping the x and y coordinates of the vertex of the original function.

Assuming the vertex of the original function $f(x)$ is at the point $(a,b)$, the vertex of the inverse function would be $(b,a)$.

Since the prompt provides the answer options but does not give the vertex coordinates directly, you would need to identify the vertex of $f(x)$ first from the graph. Then swap those coordinates to find the vertex of the inverse function.

For example:

• If the vertex of $f(x)$ is at $(3,2)$, then the vertex of its inverse $f^{-1}(x)$ would be $(2,3)$.

From the provided options, you would determine which one fits the pattern of swapping the coordinates of the original vertex.

If you cannot see the graph to determine the vertex of $f(x)$, you could use general knowledge about a standard inverted parabola (opening downwards) and analyze the given options.

Please update the options based on the actual vertex coordinates if you know them, or provide more context so that I can assist you further!