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The absolute value function g(x) = |x - 4| - 6 is reflected over the x-axis, and then translated 5 units left and 4 units down to become g′(x). The quadratic function f(x), graphed below, is translated 3 units right and 7 units up to become f′(x). Which of these two transformed functions has a larger maximum and what is the value of this maximum?
g′(x) has a larger maximum value: 2.
g′(x) has a larger maximum value: 6.
f′(x) has a larger maximum value: 3.
f′(x) has a larger maximum value: 1.
The Jacksons plan a 3-Week trip with a budget of $600 for renting a car. Car rental rates are $135/week plus $0.17/km. Write a formula to show the number of kilometers the Jacksons can travel.
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