12 Advanced Trig Graphs, Trig Equations, Stats, Transformations

Question 1

Find the transformed function if y=x^2-7x+2 is vertically dilated by a factor of 3.

Accepted Answer

y=3\left(x^2-7x+2\right), y=3x^2-21x+6

Question 2

Which function shows the phase shift of 30\degreeto the right and a centre of 7

Accepted Answer

D

Question 3

Which is the best line of fit for the data shown

Accepted Answer

B

Question 4

Find the equation of

Accepted Answer

D

Question 5

-\sin2x+1=x+1 solve graphically for the domain \left[0,360\degree\right]

Accepted Answer

x=0

Question 6

What is the equation of y=2^x translated 2 units to the left

Accepted Answer

y=2^{x+2}

Question 7

Which graph shows f\left(x\right)=3\ln x+2

Accepted Answer

B

Question 8

How would the correlation between the shoe size and height of a person be best described?

Accepted Answer

D

Question 9

Which graph shows f\left(x\right)=x^2+2

Accepted Answer

A

Question 10

Transformation of Functions

Accepted Answer

1

Question 11

Is the function f(x) = |2x| - 2 translated 3 units to the right?

Accepted Answer

False

Question 12

How would a correlation coefficient of 0.2 be best described.

Accepted Answer

C

Question 13

What is the equation of y=\frac{1}{x} translated 8 units up

Accepted Answer

y=\frac{1}{x}+8

Question 14

an^22x=1 how many solutions in the domain \left[0,360\degreeight]

Accepted Answer

8

Question 15

2\sin3x=\sqrt{2}

Accepted Answer

C

Question 16

What is the equation of f\left(x\right)=\left|2x\right|-2 translated 3 units to the right

Accepted Answer

y=\left|2x-6\right|-2

Question 17

Domain and range?

Accepted Answer

\left(-∞,-3\right),\left(-3,∞\right) and \left(-∞,0\right),\left(0,∞\right)

Question 18

Which scatterplot best shows a positive linear correlation?

Accepted Answer

A

Question 19

What is the transformation of the function f\left(x\right)=e^x when translated 3 units up?

Accepted Answer

f\left(x\right)=e^{x+3}

Question 20

What is the amplitude and period of y=-2\sin5x

Accepted Answer

B

Question 21

This vertical stretch of the Trigonometric graphs are called ...

Accepted Answer

Amplitude

Question 22

What is the centre of all three trigonometry graphs sinx, cosx tanx?

Accepted Answer

0

Question 23

Which of the following would most likely have a negative correlation?

Accepted Answer

C

Question 24

Transformations of Functions

Accepted Answer

Horizontal shift left 3, Vertical shift down 5

Question 25

What is the transformation of the function f\left(x\right)=x^2 when translated 4 units to the left?

Accepted Answer

f\left(x\right)=(x+4)^2

Question 26

Compared to y=\sin\left(x\right) which statement is true about ...

Accepted Answer

D

Question 27

Which graph shows y=\left|x+3\right|

Accepted Answer

A

Question 28

\sin\left(3x-\frac{\pi}{3}\right)=\frac{1}{\sqrt{2}} in the domain \left[0,\pi\right]

Accepted Answer

x=\frac{7\pi}{36},\frac{13\pi}{36},\frac{31\pi}{36}

Question 29

What is the equation of f\left(x\right)=\ln x translated 2 units down and 5 units to the right?

Accepted Answer

y=\ln\left(x-5\right)-2

Question 30

What is the equation of the line of best fit for the scatterplot drawn below?

Accepted Answer

y=25x+55

Question 31

The domain of most trigonometric graphs is [-1, 1].

Accepted Answer

False

Question 32

Select what did NOT happen to the function

Accepted Answer

D

Question 33

What is the transformation of the function f\left(x\right)=3x when stretched vertically by a factor of 2?

Accepted Answer

f\left(x\right)=6x

Question 34

If the function y=e^x is dilated to y=\frac{e^x}{7}, which of the following is true?

Accepted Answer

C

Question 35

Which graph shows a vertical dilation of y=\sin\left(x\right) with a scale factor of 3.

Accepted Answer

C

Question 36

What is the equation of the curve shown?

Accepted Answer

y=2\cos\left(6x\right)+3

Question 37

What is the domain and range of y=-2\cos x

Accepted Answer

D:\left(-∞,∞\right)R:\left(-1,1\right)

Question 38

Find the transformed function if y=x^2-7x+2 is translated 2 units up

Accepted Answer

y=x^2-7x+4

Question 39

Which correlation coefficient would best match the scatterplot shown?

Accepted Answer

B

Question 40

2	an\left(x+1ight)=1 how many solutions for the domain \left[0,360\degreeight]

Accepted Answer

2

Question 41

2\cos2x=1 solve for the domain \left[0,2\pi\right]

Accepted Answer

x=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}

Question 42

Trig Graphs

Accepted Answer

a = 2, b = 6, c = 3

Question 43

4\sin^2x-3=0 in the domain \left[0,360\degree\right]

Accepted Answer

x=60\degree,120\degree,240\degree,300\degree

Question 44

2	an\left(x+1ight)=1 how many solutions for the domain \left[0,360\degreeight]

Accepted Answer

2

Question 45

What is the equation of the transformed cosine function ...

Accepted Answer

D

Question 46

Find the transformed function if

Accepted Answer

y=\frac{x^2}{4}-\frac{7x}{4}+\frac{2}{4}

Question 47

What is the transformation of the function f\left(xight)=	an x when translated 2 units to the left?

Accepted Answer

f\left(xight)=	an(x+2)

Question 48

Which transformation will change the amplitude of a cosine function?

Accepted Answer

Vertical dilation

12 Advanced Trig Graphs, Trig Equations, Stats, Transformations

Questions 48

12 Advanced Trig Graphs, Trig Equations, Stats, Transformations

Questions 48