In: Advanced Math
a. Find the x-value of each point under the given translations : (-1,-6) with a horizontal translation of 5 units
b. Find the y value of the image of the point under the translation: (5,-5) with a vertical translation of 3 units
c. The graph of a particular function contains the point (-2,6). An image of that function has a coordinate at (3,-5). What is the rule for this translation?
d. Find the image of (5,-3) under the same translation?
e. The graph of f(x) = |x| is translated 3 units down and 6 units to the left. Write an equation for the image.
f. The equation x2 + y2 = 25 describes a circle of radius 5 with center at the origin. Describe the graph of the relation (x + 2)2 + (y + 9)2 = 25 . Where is the new center of the circle and what is the radius of that circle?