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
A. (-5 , -1)
B. (-5 , -5)
C. (-1 , -3)
D. (-2 , -3)
Answers
Answered by
5
Answer:
(-5,-2)
Step-by-step explanation:
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)
Answered by
6
Answer:
Step-by-step explanation:
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)
vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)
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