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Let d be the distance between each point on a graph of g(x) and the y-axis. The graph passes through the point (-1, 2); and the slope of g(x) at every point is equal to ^2 . Find an equation for g(x) that satisfies these conditions.

Respuesta :

An equation for g(x) that satisfies these conditions is d² (x+1) + 2.

What is equation?

An expression in terms of unknown variable forms an equation.

distance from y axis =d

slope m = d²

slope of g(x) is constant, so g(x) is a straight line.

Equation of a straight line g (x) =mx+c

, then equation will be

2 = d²(-1) +c

c = 2 +d²

then , g(x) will be

g(x) = d²x +2+d²

g(x) = d² (x+1) + 2

Thus, an equation for g(x) that satisfies these conditions is g(x) = d² (x+1) + 2.

Learn more about equation.

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