1. Write a rule for the transformation performed if Q(3 , 5) translates to Q’( 3, 18). 2. Consider the point Q(4,-3) which is translated to (3,2). What would the pre-image of P(1, 2) be under the same translation?

Function Notation.

Find the range values (y-values) for function f(x)=2x^2-4 when the domain (x-value) is (-2,0,1)

f(-2)=2(-2)^2-4= ?

f(0)=2(0)^2-4= ?

f(1)=2(1)^2-4= ?

1. vertical translation (the point goes straight up)

2. P'(0,7) (the translation was up five units and over 1 unit)

3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)

f(0)=2(0)^2-4= (all y values are -4) (0,-4)

f(1)=2(1)^2-4= (all y values are -2) (0,-2)

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.