The graph of y = f(x) transforms into y = f(2x-3). Describe this sequence of transformations.

Translate by 3 in the x-axis; Stretch by 1/2 in x-axis.

The graph of f(x) = 2(x-1)2 - 3 is transformed by a stretch of factor 4 along the x axis.

New Curve is: g(x) = 2(0.25x-1)2-3

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Grade 11SL_P_V Revision 2 for Mocks 2017

17 termsStudBud Administration30 plays

A review of :Trigonometry, Graphs, Summation, Sequences, Inverse Functions, Chain Rule.

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Questions 17

Answers

1
The nth term of a sequence is given by u_n = 2(0.333)ⁿ . Find the sum of the first 55 terms.
0.9985
0.675
1.234
2.345
2
Solve the equation sin2x=0.5x-0.3, 0<x<4.
1.37
0.645, 1.37
0.645
None of these
3
Find the asymptotes of the graph of f(x) = (1-3x)/(4x-5)
x = 1.25, y = -0.75
x =0.8, y = 0.25
x = 1/3, y = 3/4
0.75, 1.25
4
The graph of y = f(x) transforms into y = f(2x-3). Describe this sequence of transformations.
Translate by 3 in the x-axis; Stretch by 1/2 in x-axis.
shift along x-axis then stretch along x axis.
Stretch by factor 2 x-axis then translate by 3 in x-axis
Stretch by factor 1/2 x-axis then translate by 3 in x-axis
5
Find the nth term : 3+5+7+9+...
2n+1
3n+1
5n-3
n+1
6
Solve the equation sinx = 0.556, 0<x<360.
146
33.8, 146.2
34, 146
None of the above
7
Find the period and the amplitude of the curve f(x) = 3cos(4x)
Period: 90, Amplitude: 3
Period: 90, Amplitude: 6
Period: 360, Amplitude: 3
Period: 360, Amplitude: 6
8
a=logp; b=logq; c = log m. Find log(1000/(p²q^-3m)) in terms of a, b and c.
3-2a+3b-c
None of the answers
3-2a-3b-c
3+2a-3b+c
9
Solve the equation 3sinxtanx=8, 170<x<360
70.5, 289.5
289.5
178.5
No solutions
10
If sinA = 1/p, find cosA where 0<A<90.
1/Root(1+p2)
2/p
Root(1+p2 )/p
Root(p2 -1 )/p
11
Find the inverse of f(x) = ln(5-9x)
(5+ex )/9
(-5-ex )/9
5-ex /9
(5-ex )/9
12
The graph of f(x) = 2(x-1)² - 3 is transformed by a stretch of factor 4 along the x axis.
New Curve is: g(x) = 2(4x-1)2-3
New Curve is: g(x) = 8(x-1)2-3
New Curve is: g(x) = 2(0.25x-1)2-3
New Curve is: g(x) = 0.5(4x-1)2-3
13
A sector of a given circle of radius 14cm has area 57 cm² . Find the perimeter of this sector.
36.1 cm
47.3 cm
72.2 cm
18.1 cm
14
Find the period and the amplitude of the curve f(x) = 2cos²(4x)-2sin² (4x)
Amplitude: 4; Period: 90
Amplitude: 2; Period: 90
Amplitude: 2; Period: 45
Amplitude: 4; Period: 45
15
Find the sum: 3+8+13+18+...+ (5n-2)
n(5n-5)
0.5n(1-5n)
n(5n-1)
0.5n(5n+1)
16
Find f ' (x) for f(x) = (3x² -4x)⁶ .
(36x-24)(3x2 -4x)5
(36x-4)(3x2 -4x)5
6(3x2 -4x)5
(6x-4)(3x2 -4x)5
17
Find the infinite sum b+ab+a²b +....
2/(1-a)
b/(1-a)
2/(1-b)
2

Grade 11SL_P_V Revision 2 for Mocks 2017 Flashcards | StudBud