Pre-Calculus Math 40s Standards Test - Transformations QUESTIONS

Pre-Calculus Math 40s Standards Test - Transformations QUESTIONS

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 x-intercept of f ( x ) d) Determine the domain of f ( x ) e) Determine the x-intercept 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 x-intercept of f ( x ) is 3. State the x-intercept 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 x-intercept 1 f ( x) b) state the y-intercept c) sketch the function 15. The graph of y = f ( x ) is reflected in the y-axis 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 x-intercepts at -6 and 1. Where are the x-intercepts on the graph of y = ( x + 11) − 5 ( x + 11) − 6 2 Transformations Standards Test Practice Exam 7 www.math40s.com ...
View Full Document

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.

Ask a homework question - tutors are online