Tamara and Alex arrive at a park at the same time. Tamara lives 8 mi from the park and Alex lives 6 mi from the park. After meeting at the park, Tamara goes to a store that is 8 mi from the park, while Alex goes to a store that is 6 mi from the park. The function f(x) = 2|x| represents Tamara’s time and distance from her home to the park and then to the store. The function g(x) = 3|x| represents Alex’s time and distance from his home to the park and then to the store. Graph each absolute value function. Identify the vertex of each graph. What does the vertex represent?

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of

10 - 8 = -2

  8 - 6 = -2

etc, so -2 is the common difference

step-by-step explanation: