Which of the following functions are shown in the graph? Select all that apply.
Justify your answers.
○A y = −2x2 + 12x − 10
○B y = x2 − 6x + 13
○C y = −2(x − 3)2 + 8
○D y = −(x − 1)(x − 5)
2. You step onto an escalator and begin descending. After riding for 12 feet, you realize
that you dropped your keys on the upper fl oor and walk back up the escalator to
retrieve them. The total time T of your trip down and up the escalator is given by
T =
12
—
s
+ —
12
w − s

where s is the speed of the escalator and w is your walking speed. The trip took
9 seconds, and you walk at a speed of 6 feet per second. Find two possible speeds of
the escalator.
3. The graph of a rational function has asymptotes that intersect at the point (4, 3). Choose
the correct values to complete the equation of the function. Then graph the function.
y = ——x + 6
x +

12
9
3
−3
−6
−12
4. The tables below give the amounts A (in dollars) of money in two different bank
accounts over time t (in years).
Checking Account
t 1234
A 5000 5110 5220 5330
Savings Account
t 123 4
A 5000 5100 5202 5306.04
a. Determine the type of function represented by the data in each table.
b. Provide an explanation for the type of growth of each function.
c. Which account has a greater value after 10 years? after 15 years? Justify
your answers.
y
2 4 6 x