Worksheet Review of Electrical Circuits Combined Science ...
1.5 Chapter ONE Review Worksheet
Transcript of 1.5 Chapter ONE Review Worksheet
PREC 12 Chapter ONE Review Date:
MULTIPLE CHOICE
1. A function )(xfy = is graphed. If )()( xfxg −= , then the graph of )(xgy = is the same as the graph of
a. )(xfy = reflected on the line xy = c. )(xfy = reflected on the x -axis
b. )(xfy = reflected on the y -axis d. the reciprocal of )(xfy =
2. The graph of a function f is a parabola opening upward, with its vertex on x -axis. The graph of a new function g , where
)(2)( xfxg = will have
a. The same domain and range as f c. a different domain but same range as f
b. The same domain but a different range than f d. a different domain and a different range than f
3. As a result of the transformation of the graph of 3xy = into the graph of ( )334 −=− xy , the point (3, 27) becomes the
point (6, y ). The value of y is
a. 31 b. 30 c. 23 d. 24
4. If y is replaced by 2
yin the equation )(xfy = , then the graph of )(xfy = will be stretched
a. Horizontally about the y -axis by a factor of 2
1 c. Vertically about the x -axis by a factor of
2
1
b. Horizontally about the y -axis by a factor of 2 d. Vertically about the x -axis by a factor of 2
5. Given the graph of )(xfy = below, which of the following graphs represents the transformed function
= xfy2
1?
c.
d.
6. The graphs of 3xy = was transformed to ( ) 43 3 +−= xy . Which of the following statements describes the
transformation?
a. Translation 4 units to the right and 3 up c. The point (x, y) has been translated to (x + 3, y +4)
b. 3 units to the left and 4 down d. The point (x, y) has been translated to (x - 3, y - 4)
a.
b.
c.
7. Which of the following transformations of )(xfy = result in )(xgy = ?
8. Given the graph of )(xfy = , which of the following is the graph of 4)( −= xfy ?
a. c.
b. d.
9. The graph of )(xfy = , where 14)( ++= xxf , is reflected in the y-axis. This produced the same results as would
translating the graph of )(xfy = to the right by ______ units.
a. 4 units b. 1 unit c. 8 units d. 5 units
10. Given )(xfy = below, determine the range of 2)3()( +−= xfxg .
a.
b.
c.
d.
a.
b.
c.
d.
11. The function 3
2)(
2 +=
xxf and its reflection are shown below. An expression for this reflection is
12. How is the graph of 3)( −= xfy related to the graph of )(xfy = ?
a. )(xfy = has been translated 3 up c. )(xfy = has been translated 3 left
b. )(xfy = has been translated 3 down d. )(xfy = has been translated 3 right
13. Which equation represents the graph of )(xfy = after it is reflected in the line xy = ?
a. )( yfx = b. )( xfy −= c. )(xfy −= d. )(
1
xfy =
14. If the graph of the function xy = is horizontally expanded by a factor of 3 and then translated 2 units to the right,
determine the equation of this new function.
a. ( )23 −= xy b. ( )23
1 −= xy c. 23
1 −= xy d. 23 −= xy
15. If (4, 12) is a point on the graph )(xfy = , what must be a point on the graph of 3)2( +−= xfy ?
a. (4, -9) b. (4, 15) c. (2, -9) d. (2, -15)
16. The graph of )(xfy = is shown below on the left. Which equation represents the graph shown on the right?
17. Which equation represents the graph of )(xfy = after it is reflected in the x- axis?
a. )( xfy −= b. )(xfy −= c. )(1 xfy −= d. )(xfy =
a.
b.
c.
d.
a.
b.
c.
d.
18. If 1
2)(
−=
x
xxf , determine the equation of )(1 xfy −= , the inverse of )(xf .
a. 1
2)(1
−=−
x
xxf b.
2)(1
−=−
x
xxf c.
21
)(1
−=−
xxf d.
x
xxf
21
)(1 −=−
19. The graph of )(xfy = is graphed below on the left. Determine the equation of the function on the right.
20. If the range of )(xfy = is 53 ≤≤− y , determine the range of )(xfy =
a. 53 ≤≤− y b. 30 ≤≤ y c. 50 ≤≤ y d. 53 ≤≤ y
21. If the point (4, -9) is on the graph of )(xfy = , which of the following points must be on the graph of ))1(2(3
1 −= xfy ?
a. (3, -3) b. (9, -3) c. (9, 27) d. (3, -27)
22. The graph of )(xfy −= is a reflection of the graph of )(xfy = in which line?
a. the y axis b. the x axis c. the line xy = d. the line xy −=
23. The point (6, 1) is on the graph of the function )(xfy = . Which point must be on the graph of the function
?9)62(3 −+−= xfy
a. (0, 12) b. (-6, 6) c. (6, 1) d. (0, -6)
24. If the graph 832 =+ yx is translated 5 units down, determine the equation of the transformed graph.
a. 332 =+ yx b. 1332 =+ yx c. 8)5(32 =++ yx d. 8)5(32 =−+ yx
25. How is the graph of xy 46= related to the graph of
xy 6= ?
a. expanded vertically be a factor of 4 c. expanded horizontally by a factor of 4
b. compressed vertically be a factor of 4
1 d. compressed horizontally be a factor of
4
1
26. Determine the equation that will cause the graph of )(xfy = to expand vertically by a factor of 3 and reflect about the x
axis.
a. )(3 xfy −= b. )(3 xfy −= c. )(3
1xfy −= d. )(
31
xfy −=
a.
b.
c.
d.
27. If the graph of 922 =+ yx is horizontally compressed by a factor of 4
1, and then reflected in the y-axis, determine the
equation of the new graph.
a. 916
22
=+ yx
b. 916 22 =+ yx c. 916
22
=+− yx
d. 916 22 =+− yx
WRITTEN
28. The graph of )(xfy = is show below. Determine the equation for each of the transformed graphs.
```` a.
b.
29. Given )(xfy = below, sketch
30. Given )(xfy = below, sketch
a.
b.
c.
d.
a.
b.
a.
b.
c.
d.
e.