Answer:
Step-by-step explanation:
Since we will be "completing the square" we will isolate the x2 and x terms ... so move the + 5 to the other side of the equal sign. y - 5 = 2x2 - 4x. We need a leading coefficient of 1 for completing the square ..
We need the question to help
∈ ≤ ≥
-6 ≤ 2x + 6 ≤ 6 ( seperate the two inequalities)
2x + 6 ≥ - 6
2x + 6 ≤ 6 (solve the inequalities)
x ≥ -6
x ≤ 0 (find the intersection)
solution is : x ∈ { -6, 0 }
Answer:
C
Step-by-step explanation:
Translate the image 2 units right and 1 unit up. Then rotate the image 180°.
Take the coordinate W, it is at (2, 4).
Translate 2 units right (add 2 to the x coordinate) and 1 up (add 1 to the y coordinate)
(2, 4) ------> (2 + 2, 4 + 1) -------> (4, 5)
A rotation of 180° (doesn't matter the direction) makes the coordinates their opposites. Positives become negatives and negatives become positive.
(4, 5) -------> (-4, -5)