Quadrtic Functions

Question

The minimum of a parabola is located at (–1, –3). The point (0, 1) is also on the graph. Which equation can be solved to determine the a value in the function representing the parabola?
1 = a(0 + 1)2 – 3
1 = a(0 – 1)2 + 3
0 = a(1 + 1)2 – 3
0 = a(1 – 1)2 + 3

Answer 1

the equation is y - k = a(x - h)² where vertex is V(h,k).

 

Substituting gives y +3 = (a(x +1)² in general; substituting *(x,y) = (0,1) gives 1 +3 = a(0+1)²

 

and careful observation leads you to the correct answer, the FIRST optional choice listed.