Which ordered pair is the vertex of y = |x - 3| + 2 ?Which equation represents t

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Which ordered pair is the vertex of y = |x - 3| + 2 ?
a. (3, 2)
b. (2, 3)
c. (–3, 2)
d. (2, –3)

The time between seeing the lightning and hearing the thunder is s seconds. The distance d you are from lightning is approximately equal to one-fifth of s seconds. Which direct variation equation represents this situation?
a. d = 5s
b. s = 1/5d
c. s = 5d
d. d = 1/5s

Which equation represents the graph?
a. y = |x – 2|
b. y = |x| – 2
c. y = |x| + 2
d. y = |x|
May 11th, 2015

1) When you graph the equation you get a graph where the vertex is at (3,2) (letter a)

The number after the absolute value is the shift vertically, and within the absolute value is a shift horizontally. The shift horizontally is always opposite of the number's sign, so in this case it is shift right 3 and up 2.

2) Since the distance is 1/5 seconds then d = 1/5s (answer d)

3) y = absolute value of x-2 (which is letter a).

I hope this helps!

May 11th, 2015

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