Use the vertex and the direction in which the parabola opens to determine the relation's domain and range.
-$$x = - ( y + 1 ) ^ { 2 } + 8$$
A)Yes
B)No

Question

Quizplus · Accepted Answer

The given equation is in the form $x = - ( y + 1 ) ^ { 2 } + 8$, which represents a parabola that opens to the left (since the coefficient of the squared term is negative). This means the parabola's domain is all real numbers (since it extends infinitely in the y-direction), but its range is restricted by the vertex. The vertex of this parabola is at $(-1, 8)$, so the range is all real numbers, but the domain is restricted to $x \leq 8$. The question seems to misunderstand the relation's domain and range based on the parabola's orientation, hence the correct choice is "No."

Use the Vertex and the Direction in Which the Parabola x=−(y+1)2+8x = - ( y + 1 ) ^ { 2 } + 8x=−(y+1)2+8

Use the Vertex and the Direction in Which the Parabola $x = - ( y + 1 ) ^ { 2 } + 8$