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Unformatted text preview: Transformations Cransformations Standards Test Practice Exam
T opyright © 2006, Barry Mabillard. 0 www.math40s.com
www.math40s.com 1. A point on the graph of y = f ( x ) is (1, 2).
State what this point will become in the graph of y = f ( − x ) 2. Given the function f ( x) = x + 9 − 2
a) Find the equation of the inverse b) Sketch the original and inverse c) Determine the xintercept of f ( x ) d) Determine the domain of f ( x ) e) Determine the xintercept of f −1 ( x ) f) Determine the domain of f −1 ( x ) Transformations Standards Test Practice Exam 1 www.math40s.com 3. The graph of y = g ( x ) is shown to the right: Sketch: a) y = g ( x ) b) y = − g ( x) c) y = g ( − x ) 4. The graph of f ( x ) = − x 2 − 1 is shown below. Draw the graph of y = 1
f ( x) ⎛ x⎞
5. The xintercept of f ( x ) is 3. State the xintercept of y = f ⎜ ⎟
⎝4⎠ Transformations Standards Test Practice Exam 2 www.math40s.com 6. Describe the transformations required to transform the graph of f ( x ) into g ( x ) . f ( x) g ( x) 7. The graph of y = f ( x ) is shown on the right. Sketch: a) y = − f ( x − 1) Transformations Standards Test Practice Exam b) y = 3 1
f ( x) www.math40s.com 8. Determine if the function f ( x ) = x − x 2 is even, odd, or neither. ⎧ x 2 + 1, x > 0 ⎫
9. Sketch the graph of f ( x ) = ⎨
⎬
⎩ 2 x, x ≤ 0 ⎭ 10. The graph of y = g ( x ) is shown below. The domain of y = 1
is
g ( x) y = g ( x) Transformations Standards Test Practice Exam 4 www.math40s.com 11. Given the graph of y = f ( x ) , sketch the following: 1
f ( x)
2 b) y = f ( 2 x ) c) y = − f ( x ) d) y = f ( − x ) a) y = 12. Sketch the graph of the following function if
a) it’s an even function Transformations Standards Test Practice Exam b) it’s an odd function 5 www.math40s.com 13. Given the graph shown, sketch the graph of
a) y = 2 f ( x − 1) b) y = 14. Given the function y = x + 4 − 1
a) state the xintercept 1
f ( x) b) state the yintercept c) sketch the function 15. The graph of y = f ( x ) is reflected in the yaxis and shifted 3 units down.
The equation of the transformation is: Transformations Standards Test Practice Exam 6 www.math40s.com ⎧ x 2 + 1, x < 0⎫
⎪
⎪
16. Sketch the function f ( x ) = ⎨
⎬ and determine the value of f ( −3)
⎪ x, x ≥ 0 ⎪
⎩
⎭ 17. Given the graph of y = f ( x ) , draw the inverse and state the domain of the inverse 18. Determine the value of the point (2, 8) after the transformation y = 1
f ( 2x)
4 19. The graph of f ( x ) = x 2 − 5 x − 6 has xintercepts at 6 and 1.
Where are the xintercepts on the graph of y = ( x + 11) − 5 ( x + 11) − 6
2 Transformations Standards Test Practice Exam 7 www.math40s.com ...
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This note was uploaded on 03/02/2012 for the course SCIENCE 1120 taught by Professor A.young during the Spring '12 term at Canadian University College.
 Spring '12
 A.Young
 Biology, pH

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