Transformations/ Images — Quiz 6

Questions in this quiz (5)

1. Constants $$m_1$$ and $$m_2$$ satisfy $$m_1 m_2 = 1$$. Find the axes of symmetry about which the line $$y = m_1 x$$ is symmetric to $$y = m_2 x$$.

   • $$y = -x+1$$
   • $$y = x+1$$
   • $$y = -x-1$$
   • $$y = -x$$

2. Write the new equation after flipping the parabola $$y=2x^2-6x+4$$ along the line $$x=-2$$

   • $$y=4x^2+12x-8$$
   • $$y=4x^2-12x-8$$
   • $$y=-4x^2+12x+8$$
   • $$y=2x^2+22x+60$$

3. Write the new equation after rotating the parabola $$y=-2(x+1)^2+3$$ counterclockwise around the vertex by $$90^\circ$$

   • $$y=2(y+3)^2-2$$
   • $$y=2(x-1)^2-3$$
   • $$y=2(x-3)^2-1$$
   • $$x=2(y-3)^2-1$$

4. Write the new equation after rotating the parabola $$y=2(x+1)^2-3$$ clockwise around the origin by $$90^\circ$$

   • $$x=2(1-y)^2-3$$
   • $$y=2(1-x)^2-3$$
   • $$y=2(x-3)^2-1$$
   • $$x=2(y-1)^2-3$$

5. Rotate circle $$(x+2)^2+(y-3)^2=9$$ clockwise by $$90^\circ$$ around the origin. Write the equation of the new circle.

   • $$(x-3)^2+(y-2)^2=9$$
   • $$(x-2)^2+(y+3)^2=9$$
   • $$(x-3)^2+(y+2)^2=9$$
   • $$(x+3)^2+(y+2)^2=9$$