Write the Equation of the Quadratic Function Whose Graph Is $( 0,5 ) , ( - 1,5.25 ) , ( 5,18.75 )$

Multiple Choice

Write the equation of the quadratic function whose graph is a parabola containing the given points.
- $( 0,5 ) , ( - 1,5.25 ) , ( 5,18.75 )$

A) $y = \frac { x ^ { 2 } } { 2 } + \frac { x } { 4 } - 5$
B) $y = \frac { x ^ { 2 } } { 2 } + 2 x + 5$
C) $y = \frac { x ^ { 2 } } { 2 } + \frac { x } { 4 } + 5$
D) $y = \frac { x ^ { 2 } } { 4 } + \frac { x } { 2 }$