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Transformations of functions IB Math SL

Quiz by B Wojcik

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Q 1/15
Score 0
The black curve is the graph of y=f(x)y=f(x)​. What equation made the red curve?
30
​y=f(x)−5y=f(x)-5​
​y=f(x−5)y=f(x-5)​
​y=f(x)+5y=f(x)+5​
​y=f(x+5)y=f(x+5)​

15 questions

Q.The black curve is the graph of y=f(x)y=f(x). What equation made the red curve?
1
30 sec
Q.The black curve is the graph of y=f(x)y=f(x). What equation made the red curve?
2
30 sec
Q.The black curve is the graph of y=f(x)y=f(x). What equation made the red curve?
3
30 sec
Q.The black curve is the graph of y=f(x)y=f(x). What equation made the red curve?
4
30 sec
Q.The graph of y=f(x)y=f(x) is reflected in the y−y-axis and stretched twice as far from the x−x-axis.
5
120 sec
Q.The graph of y=f(x)y=f(x) is reflected in the x−x-axis and stretched twice as far from the y−y-axis.
6
120 sec
Q.The graph of y=f(x)y=f(x) is transformed by vertical dilation factor of 55, followed by translation by (60)\left( \begin{array}{c} 6 \\ 0 \end{array} \right) (meaning a horizontal translation of 66 and vertical translation of 00).
7
120 sec
Q.The graph of y=f(x)y=f(x) is transformed by horizontal dilation factor of 55, followed by translation by (0−2)\left( \begin{array}{c} 0 \\ -2 \end{array} \right) (meaning a horizontal translation of 00 and vertical translation of −2-2).
8
120 sec
Q.The graph of y=f(x)y=f(x) is transformed by vertical dilation factor of 34\frac 3{4}, followed by translation by (−12)\left( \begin{array}{c} -1 \\ 2 \end{array} \right) (meaning a horizontal translation of −1-1 and vertical translation of 22).
9
300 sec
Q.The graph of y=f(x)y=f(x) is transformed by horizontal dilation factor of 1/41/4, followed by translation by (01)\left( \begin{array}{c} 0 \\ 1 \end{array} \right) (meaning a horizontal translation of 00 and vertical translation of 11).
10
300 sec
Q.The graph of y=f(x)y=f(x) is transformed by horizontal dilation factor of 33, followed by translation by (10)\left( \begin{array}{c} 1 \\ 0 \end{array} \right) (meaning a horizontal translation of 11 and vertical translation of 00).
11
300 sec
Q.The graph of y=f(x)y=f(x) is transformed by horizontal dilation factor of 23\frac2{3}, followed by translation by (−10)\left( \begin{array}{c} -1 \\ 0 \end{array} \right) (meaning a horizontal translation of −1-1 and vertical translation of 00).
12
300 sec
Q.The function f(x)=1xf(x)=\frac1{x} is transformed to g(x)=2x+3−1g(x)=\frac2{x+3}-1 by a vertical dilation factor qq followed by translation by (rm)\left( \begin{array}{c} r \\ m \end{array} \right). Find the values of q,rq, r and mm.
13
300 sec
Q.The function f(x)=(x−1)2f(x)=(x-1)^2 is transformed to g(x)=−2(x−1)2+3g(x)=-2(x-1)^2 +3 by a vertical dilation factor qq followed by translation by (rm)\left( \begin{array}{c} r \\ m \end{array} \right). Find the values of q,rq, r and mm.
14
300 sec
Q.The function f(x)=2exf(x)=2e^x is transformed to g(x)=ex−1g(x)=e^{x-1} by a vertical dilation factor qq followed by translation by (rm)\left( \begin{array}{c} r \\ m \end{array} \right). Find the values of q,rq, r and mm.
15
300 sec

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