Final answer:
The vertex of the parabola x=9y²-7 is at (0,-7/4).
Step-by-step explanation:
The equation x=9y²-7 represents a parabola in the form y=ax+bx². To find the vertex of this parabola, we first need to rewrite the equation in the form y=a(x-h)²+k, where (h,k) is the vertex. Rearranging the equation, we get y=(9/2)(x-0)²-7/4. Therefore, the vertex is at (0,-7/4).