The point (-1, 3) is the turning point of the graph with equation y = x2 + ax + b, where a and b are integers.
Find the values of a and b.

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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

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

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