Write the equation of the quadratic function whose graph is a parabola containing the given points.
-$( 0,1 ) , ( 2,6 ) , ( - 3,8.5 )$
A) $y = x ^ { 2 } + x + 1.5$
B) $y = x ^ { 2 } + 5 x - 1$
C) $y = x ^ { 2 } - 0.5 x + 1$
D) $y = x ^ { 2 } + 0.5 x + 1$

Question

Quizplus · Accepted Answer

To find the correct equation, we can substitute each point into the given equations and see which equation is satisfied by all three points. For option D, substituting $x = 0$ gives $y = 1$, $x = 2$ gives $y = 2^2 + 0.5(2) + 1 = 6$, and $x = -3$ gives $y = (-3)^2 - 1.5 + 1 = 8.5$, which matches all given points.

Write the Equation of the Quadratic Function Whose Graph Is (0,1),(2,6),(−3,8.5)( 0,1 ) , ( 2,6 ) , ( - 3,8.5 )(0,1),(2,6),(−3,8.5)

Write the Equation of the Quadratic Function Whose Graph Is $( 0,1 ) , ( 2,6 ) , ( - 3,8.5 )$