Create a Quiz. The academic subject for which the text must be created - Mathematics. Content must be appropriate for Year or Grade 11. Requ...
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Which subjectMathematics
What age groupYear or Grade 11
What topictransformations of graphs
Question typesMixed
Number of questions5
Number of answers4
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Grade 11 Mathematics Quiz: Transformations of Graphs

Instructions:

For each question, provide your answer in the space provided. If the question includes a list of possible answers, select the correct one.


1. What is the effect of the transformation ( f(x) + 3 ) on the graph of the function ( f(x) )?
A. The graph shifts up 3 units.
B. The graph shifts down 3 units.
C. The graph shifts left 3 units.
D. The graph shifts right 3 units.


2. Describe the transformation of the graph represented by ( g(x) = -f(x) ).
(No answer options are provided; please write your response below.)


3. If the function ( f(x) ) is transformed to ( f(x - 2) ), which direction is the graph shifted?
A. Left 2 units
B. Right 2 units
C. Up 2 units
D. Down 2 units


4. A transformation produces the graph of ( h(x) = 2f(x) ). How does this transformation affect the graph of ( f(x) )?
A. The graph stretches vertically by a factor of 2.
B. The graph compresses vertically by a factor of 2.
C. The graph reflects over the x-axis.
D. The graph shifts horizontally to the right.


5. If a function ( p(x) ) is transformed to create ( p(-x) ), what is the name of this transformation?
(No answer options are provided; please write your response below.)


End of Quiz

Make sure to review your answers before submitting. Good luck!