Name the conic.
-Vertex at (0, 0); axis of symmetry the x-axis; containing the point (8, 6)
A) $y ^ { 2 } = \frac { 9 } { 2 } x$
B) $y ^ { 2 } = \frac { 9 } { 8 } x$
C) $x ^ { 2 } = \frac { 9 } { 8 } y$
D) $x ^ { 2 } = \frac { 9 } { 2 } y$

Question

Name the conic.
-Vertex at (0, 0); axis of symmetry the x-axis; containing the point (8, 6) 
A) $y ^ { 2 } = \frac { 9 } { 2 } x$
B) $y ^ { 2 } = \frac { 9 } { 8 } x$
C) $x ^ { 2 } = \frac { 9 } { 8 } y$
D) $x ^ { 2 } = \frac { 9 } { 2 } y$

Quizplus · Accepted Answer

The equation of a parabola with vertex at (0, 0) and axis of symmetry the x-axis is $y^2 = 4px$. Substituting the point (8, 6) into this equation, we get $6^2 = 4p(8)$, which simplifies to $p = \frac{9}{2}$. Therefore, the equation of the parabola is $y^2 = \frac{9}{2}x$.

Name the Conic y2=92xy ^ { 2 } = \frac { 9 } { 2 } xy2=29​x

Name the Conic $y ^ { 2 } = \frac { 9 } { 2 } x$