Answer:
a = 2, b = 4
Step-by-step explanation:
The equation of a parabola in standard form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is the coefficient of the x² term.
Here (h, k ) = (- 1, 3 ) and coefficient of x² term = 1 , then
y = (x - (- 1))² + 3 , that is
y = (x + 1)² + 3 ← expand factor using FOIL
y = x² + 2x + 1 + 3
y = x² + 2x + 4 ← in standard form
compare to y = x² + ax + b
with a = 2 and b = 4
