Observe the graph the function is

Rewrite the function so that it is in the form by completing the square.

\ \ Change the expression into a perfect square trinomial add to each side of the equation.

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(a) The parent function is .

The graph of is the graph of   translated units to the right, compressed vertically, reflected in the -axis, and translated units up.

(b)

The second golfer hits a similar shot feet farther down the fairway from the first player.

Subtract an additional feet from inside squared expression.

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The function to describe the second golfers shot is .

(c) Graph the two functions and on same axes.

(d) Plot the point on the graph, that is the paths of the two shots cross each other.

Observe the graph:

The shots will cross paths at a horizontal distance of feet and a vertical distance of  feet.

(a) The graph of is the graph of   translated units to the right, compressed vertically, reflected in the -axis, and translated units up.

(b) The function to describe the second golfers shot is .

(c) Graph:

(d) The shots will cross paths at a horizontal distance of feet and a vertical distance of  feet.