Use the equation of the parabola first to determine whether the axis of symmetry is vertical or horizontal. Then determine if the parabola opens upward, downward, left, or right. $x = y ^ { 2 } + 6$
A) Horizontal axis of symmetry;
B) Vertical axis of symmetry; opens left opens downward
C) Vertical axis of symmetry;
D) Horizontal axis of symmetry; opens upward opens right

Question

Quizplus · Accepted Answer

The equation $x = y^2 + 6$ represents a parabola that opens to the right because the y-variable is squared and the x-variable is isolated on one side of the equation. This indicates a horizontal axis of symmetry. Since the coefficient of $y^2$ is positive, the parabola opens to the right.

Use the Equation of the Parabola First to Determine Whether x=y2+6x = y ^ { 2 } + 6x=y2+6

Use the Equation of the Parabola First to Determine Whether $x = y ^ { 2 } + 6$