Write an equation for the parabola with vertex at the origin.
-Through $( \sqrt { 7 } , 7 )$, opening upward
A) $y = x ^ { 2 }$
B) $y = 7 x ^ { 2 }$
C) $x = \frac { \sqrt { 7 } } { 7 } y ^ { 2 }$
D) $x = y ^ { 2 }$

Question

Quizplus · Accepted Answer

The given parabola has its vertex at the origin and opens upward, fitting the standard form $y = ax^2$. Substituting the point $(\sqrt{7}, 7)$ into this equation gives $7 = a(\sqrt{7})^2$, which simplifies to $7 = 7a$, leading to $a = 1$. Therefore, the equation is $y = x^2$.

Write an Equation for the Parabola with Vertex at the Origin