Convert –2y2 + x – 4y + 6 = 0 into standard form.

Rearrange the equation to isolate x: x = 2y² + 4y − 6. Factor 2 from the quadratic terms and complete the square: x = 2(y² + 2y) − 6 = 2[(y + 1)² − 1] − 6 = 2(y + 1)² − 8. Therefore, the standard form is x = 2(y + 1)² − 8, choice B.

AI-written and checked against the verified answer.