When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at
Choose the correct answer.
A) (-5 , -1)
B) (-5 , -5)
C) (-1 , -3)
D) (-2 , -3)
E) None
Solution   First rewrite y - 2x 2 = 8 x + 5 as   y = 2x 2 + 8 x + 5   Complete square and determine vertex.   y = 2(x 2 + 4x + 4) - 8 + 5   = 2(x + 2) 2 - 3   vertex at (- 2 , - 3)   If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .   vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)   (-5 , -1)nswer (-5 , -1)
<result>A</result>
When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at