For questions 1 and 2, use integer values of from –3 to 3 to graph the equation.

Question

1) y = –2x2 + 3
2) y = one-third |x| –2
Find the horizontal change and the vertical change for the translation
3) p(4, –4) right arrow (–4, 7).
4) The point c(3, –1) is translated to the left 4 units and up 1 unit. a. Write the rule for this translation.
b. What are the coordinates of the image point?
5) How many lines of symmetry does the figure below have? If there are no lines of symmetry, write none
6) The vertices of ΔABC are A(2, –5), B(–3, 5), and C(3, –3). The triangle is reflected over the x-axis. Use arrow notation to describe the original triangle and its reflection.
7) The point c (x, y) is reflected over the x-axis. Write a translation rule to describe the original point and its reflection.

Answer 1

#1,#2 use any online grapher, such as wolframalpha.com

#3 well, what do you have to add to 4 to get to -4?

(4,-4) + (-8,?) = (-4,7)

#4. Put the words into algebra:

T: (x,y) -> (x-4,y+1)
...

#5 no figure available

#6 to reflect in the x-axis, change the signs of the y-coordinates: (x,y) -> (x,-y)

#7: see #6

This should get you well on your way, assuming you don't just want someone else to do it all for you...

Answer 2

danke!