Transformations/ Images — Quiz 3

Questions in this quiz (6)

1. Triangles $$\triangle PQR$$ and $$\triangle P'Q'R'$$ are graphed in the standard $$(x, y)$$ coordinate plane. The coordinates of the vertices are: $$P(2, 5), Q(5, 2), R(4, -1)$$ and $$P'(-5, 2), Q'(-2, 5), R'(-1, 4)$$. Which of the following transformations maps $$\triangle PQR$$ onto $$\triangle P'Q'R'$$?

   • $$90^\circ$$ clockwise rotation about the origin
   • $$90^\circ$$ counterclockwise rotation about the origin
   • Reflection across the $$x$$-axis
   • Reflection across the $$y$$-axis

2. The graph of $$y = f(x)$$ is shown in the standard $$(x,y)$$ coordinate planeWhich of the following graphs represents the reflection of the graph of $$𝑦 = 𝑓(𝑥)$$ across the line $$𝑦 = 𝑥$$?

3. What is the image of the point $$(5, -3)$$ after a $$90^\circ$$ counterclockwise rotation about the origin?

   • $$(3,-5)$$
   • $$(-5,-3)$$
   • $$(5,-3)$$
   • $$(-3,5)$$

4. Which of these is $$y=x^2$$ moved up 4 units, right 6 units, and then reflected about the $$y$$-axis?

   • $$y=(x-6)^2+4$$
   • $$y=(x+6)^2-4$$
   • $$y=(-x+6)^2+4$$
   • $$y=(-x-6)^2+4$$

5. If $$y=\sqrt{x}$$ is shifted right 4 units and down 7 units, what is the new equation?

   • $$y=\sqrt{x-4}-7$$
   • $$y=\sqrt{x+4}-7$$
   • $$y=\sqrt{x+4}+7$$
   • $$y=\sqrt{x-7}-4$$

6. If $$g(x)=f(x-5)-6$$, how is $$f(x)$$ shifted?

   • 5 left and 6 down
   • 5 right and 6 down
   • 5 left and 6 up
   • 5 right and 6 down