Question 468040
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Hi,
the vertex form of a parabola opening right or left, {{{x=a(y-k)^2 +h}}} where(h,k) is the vertex.
4y^2 +9y+10 = x
4[(y + 9/8)^2 - 81/64] + 10
4(y + 9/8)^2 - 81/16 + 10 = x
4(y + 9/8)^2 + 79/16 = x  V(79/16,-9/8) Opening to the right

{{{drawing(300,300,   -6,20,-6,6, grid(1),circle(79/16,-9/8,.6),
graph( 300, 300, -6,20,-6,6,0,-9/8 + .5sqrt(x -79/16),-9/8 - .5sqrt(x - 79/16)  ))}}}