If the graph of y= |x| is translated so that the point (1, 1) is moved to (4,1), what is the equation of the new graph?

Step-by-step explanation:

The parent absolute function is

The graph of y= |x| is translated so that the point (1, 1) is moved to (4,1). It means the rule of translation is

it means the graph of y=|x| translated 3 units right. So, the new vertex of the function is (3,0).

The vertex form of an absolute function is

The new vertex of the function is (3,0). Substitute h=3 and k=0 in the above equation.

Therefore, the required equation is y=|x-3|.

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

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step-by-step explanation: