What is the line of symmetry for the graph of an inverse function?

Inverse Functions and Their Graphs

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x = 2y
y = 2x
y = x
y = -x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When graphing the inverse of a function, what is the first step?
Calculate the slope
Find the x-intercepts
Draw a dotted line for y = 2x
Draw the original function
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do the x-intercepts and y-intercepts change when finding the inverse of a function?
They are halved
They are swapped
They are doubled
They remain the same
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of sketching the inverse of a parabola, what is the key visual strategy?
Focus on the vertex
Ignore the x-intercepts
Consider the axis of symmetry
Flip parts of the graph across y = 2x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you check to ensure the inverse graph is correct?
The graph is symmetrical about the y-axis
The graph intersects y = 2x at the same points as the original
The graph is below the x-axis
The graph is above the x-axis
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a useful technique when struggling to visualize the inverse graph?
Consider only a portion of the graph
Draw the graph in a different color
Use a ruler to measure distances
Ignore the y-intercepts
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the final exercise, what is emphasized about the relationship between the original and inverse graphs?
They are unrelated
They are identical
They are always parallel
They correspond to each other in specific parts
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