Transformations/ Images — Quiz 4

Questions in this quiz (6)

1. What transformations of $$y=x^2$$ result in $$y=(x+4)^2-7$$?

   • 4 left and 7 down
   • 4 right and 7 up
   • 7 right and 4 down
   • 7 left and 4 down

2. What are the coordinates of the point $$(6,-4)$$ after it is rotated $$180^\circ$$ about the origin?

   • $$(-6,-4)$$
   • $$(6,4)$$
   • $$(-6,4)$$
   • $$(4,-6)$$

3. A point $$P(3,2)$$ is rotated counterclockwise by $$90^\circ$$ about the origin. What are the coordinates of the image of $$P$$?

   • $$(-3,2)$$
   • $$(-2,3)$$
   • $$(2,-3)$$
   • $$(-3,-2)$$

4. A rectangle $$ABCD$$ is reflected across the x-axis to form the image $$A'B'C'D'$$ in the standard $$xy$$ coordinate plane. The coordinates of point $$A$$ are $$(p,q)$$. What are the coordinates of point $$A'$$?

   • $$(-p,-q)$$
   • $$(-p,q)$$
   • $$(p,-q)$$
   • $$(p,q)$$

5. Circle A has the equation $$(x + 2)^2 + (y - 5)^2 = 49$$. If Circle B represents the reflection of Circle A across the y-axis, what is its equation?

   • $$(-x - 2)^2 + (y - 5)^2 = 49$$
   • $$(x - 2)^2 + (y - 5)^2 = 49$$
   • $$(x - 2)^2 + (y + 5)^2 = 49$$
   • $$(x + 2)^2 + (y - 5)^2 = 49$$

6. Write the new equation after flipping the parabola $$y=-2x^2+6x-1$$ along the $$x$$-axis.

   • $$y=2x^2-6x+1$$
   • $$y=\frac{1}{-2x^2+6x-1}$$
   • $$y=(-2)x^2+6x-1$$
   • $$y=\frac{1}{(-2)x^2-6x+1}$$