A quadratic function f is defined by f (x) = (2+6) (x – 8). 1. Without graphing, identify the x-intercepts of the graph of f. Explain how you know. 2. Expand (x + 6) (2 - 8) and use the expanded form to identify the y-intercept of the graph of f. Show your work and explain how you know.

1. The x-intercepts can be determined by taking the opposite of the constants, in this case the x-ints are -6 and +8.

2. (x+6)(x-8)  =  x^2+-2x-48, the y-intercept is -48

A perpendicular bisector is a perpendicular line that divides a line into two equal halves

step by step:

To apply the Perpendicular Bisector Theorem, the land surveyor will need to identify; the midpoint along the line connecting the two stakes

The reason why the surveyor needs to identify the midpoint is as follows:

According to the Perpendicular Bisector Theorem, all points on the perpendicular bisector of a line are of equal distance from the line's endpoint

In order to apply the perpendicular bisector, the surveyor would need to identify the midpoint from which the third stake can be placed 100 ft. along a perpendicular bisector drawn from the midpoint

Therefore, the surveyor needs to identify; the midpoint along the line connecting the two stakes

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