Transformations/ Images — Quiz 1

Questions in this quiz (6)

1. A transformation maps $$(x,y)$$ to $$(x-5,y+2)$$. What type of transformation is this?

   • Translation
   • Reflection
   • Rotation
   • Dilation

2. Given point $$A(3,-4)$$, find point $$B$$ that is symmetric to $$A$$ with respect to the $$x$$-axis.

   • $$(3,4)$$
   • $$(-3,4)$$
   • $$(-3,-4)$$
   • $$(3,-4)$$

3. If $$f(x) = x^2$$ and $$h(x) = f(x - 3) - 4$$, what is the relationship between the graphs of $$f(x)$$ and $$h(x)$$ in the xy-coordinate plane?

   • The graph of h(x) is the graph of f(x) shifted 4 units left and 3 units down.
   • The graph of h(x) is the graph of f(x) shifted 3 units left and 4 units down.
   • The graph of h(x) is the graph of f(x) shifted 4 units right and 3 units down.
   • The graph of h(x) is the graph of f(x) shifted 3 units right and 4 units down.

4. What is the effect on the graph of the function $$f(x) = -x^2 + 4$$ when it is changed to $$f(x) = -x^2 - 2$$?

   • shifts down 6 units
   • shifts up 2 units
   • Opens down
   • shifts down 2 units

5. Given point $$P(-5,2)$$, find point $$Q$$ that is symmetric to $$P$$ with respect to the $$y$$-axis.

   • $$(5,-2)$$
   • $$(5,2)$$
   • $$(-5,-2)$$
   • $$(-5,2)$$

6. Given point $$P(-2,5)$$, find point $$Q$$ that is symmetric to $$P$$ with respect to the point $$M(0,-1)$$.

   • $$(-2,-7)$$
   • $$(-2,7)$$
   • $$(2,-7)$$
   • $$(2,7)$$