1.
The graph of $y=f(x)$ is shown below. If the function is changed to $y=f(2x)$ then the transformed graph is best illustrated by:
Replacing x by 2x gives horizontal compression by 1/2. Answer: A
2.
Which of the following statement is false for an inverse reflection?
Inverse reflections are across $y=x$; invariant points satisfy $x=y$, so $(-1,1)$ is not invariant. Answer: C
3.
The graph of $y=f(x)$ is transformed by a horizontal compression by a factor of 1/4 and a vertical expansion by a factor of 5. The equation of this new image has the form y=af(bx)
Vertical expansion => a=5; horizontal compression 1/4 => b=4. Answer: B
4.
Prepare for transformation the following equation 4y=8|-3x+6|-28
Solve for y then factor: y=2|-3(x-2)|-7. Answer: C
5.
Which of the following statement is false for a horizontal reflection?
Horizontal reflection is across the y-axis, not x-axis. Answer: C
6.
The graph of For $y=f(x)$ is shown below. If the function is changed to $y=f(\frac13x)$ what will be point A new coordinates?
Replacing x by x/3 gives horizontal expansion by 3, so (-1,6)->(-3,6). Answer: D
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