The graph of
Which of the following options best represents the graph of
Functions, 2ADV F2 2024 HSC 7 MC
The diagram shows the graph
Which of the following best represents the graph
Functions, 2ADV F2 2024 HSC 4 MC
The parabola
What is the equation of the resulting parabola?
Functions, 2ADV F2 2023 HSC 27
The graph of
- Find the values of
and . (3 marks)
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- The line
cuts the graph of in two distinct places. - Find all possible values of
. (2 marks)
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Functions, 2ADV F2 2022 HSC 19
The graph of the function
Find the values of
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Functions, 2ADV F2 SM-Bank 16
Let
Let the graph of
• dilation by a factor of
• translation by two units to the right (in the direction of the positive horizontal axis
Find
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Functions, 2ADV F2 EQ-Bank 13
The curve
-
- Translated 2 units in the positive
-direction - Dilated in the positive
-direction by a factor of 4 - Reflected in the
-axis
- Translated 2 units in the positive
The final equation of the curve is
- Find the equation of the graph after the dilation. (1 mark)
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- Find the values of
and . (2 marks)
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Functions, 2ADV F2 EQ-Bank 14
List a set of transformations that, when applied in order, would transform
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Functions, 2ADV F2 EQ-Bank 2 MC
Which diagram best shows the graph
| A. |  |
B. |  |
| C. |  |
D. |  |
Functions, 2ADV F2 EQ-Bank 16
- Describe each transformation and state the equation of the graph after each transformation. (2 marks)
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- Sketch the graph. (1 mark)
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i.
| ii. |  |
Functions, 2ADV F2 EQ-Bank 1
The function
The graph of the new function is shown below.
What are the values of
Functions, 2ADV F2 SM-Bank 7 MC
The point
where
The coordinates of the point
A.
B.
C.
D.
Functions, 2ADV F2 SM-Bank 6 MC
The graph of a function
Which one of the following is the function
A.
B.
C.
D.
Functions, 2ADV F2 SM-Bank 5 MC
The point
The coordinates of the final image of
Functions, 2ADV F2 SM-Bank 4 MC
The graph of the function
The equation of the new graph is
A.
B.
C.
D.
Functions, 2ADV F2 SM-Bank 1
- Draw the graph
. (1 mark)
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- Explain how the above graph can be transformed to produce the graph
and sketch the graph, clearly identifying all intercepts. (3 marks)
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i.
ii.
Functions, 2ADV F2 2013 HSC 15c
- Sketch the graph
. (1 mark)
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- Using the graph from part (i), or otherwise, find all values of
for which the equation has exactly one solution. (2 marks)
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i.
♦ Mean mark 49%
MARKER’S COMMENT: Many students drew diagrams that were “too small”, didn’t use rulers or didn’t use a consistent scale on the axes!
MARKER’S COMMENT: Many students drew diagrams that were “too small”, didn’t use rulers or didn’t use a consistent scale on the axes!
| ii. |
|
♦♦ Mean mark 25%.
COMMENT: Students need a clear graphical understanding of what they are finding to solve this very challenging, Band 6 question.
COMMENT: Students need a clear graphical understanding of what they are finding to solve this very challenging, Band 6 question.