Question 1

What is the vertex of the graph of the quadratic function f(x) = x$^2$ + 6x + 10?

Accepted Answer

(−3, 1)

Answer

(−3, −1)

Answer

(3, −1)

Answer

(3, 1)

Question 2

The graph of y = 3x$^2$ − 2 is shown below. If the coefficient of x$^2$ is changed from 3 to another positive number to create a new function, how will the graph of the new function compare with the graph of the original function?

Accepted Answer

The new graph will be wider or narrower than the original graph.

Answer

The new graph will open in the opposite direction as the original graph.

Answer

The x-intercepts of the new graph will be the same as the x-intercepts of the original graph.

Answer

The vertex of the new graph will be different from the vertex of the original graph.

Question 3

Two points on the graph of a quadratic function are shown on the grid below. What is the equation for the axis of symmetry of the graph of this function?

Accepted Answer

x = −3

Answer

y = −5

Answer

x = −5

Answer

y = −3

Question 4

Which statement about the quadratic functions below is false?

Accepted Answer

The graphs of two of these functions have a minimum point.

Answer

The graphs of all these functions have the same axis of symmetry.

Answer

The graphs of two of these functions do not cross the x-axis.

Answer

The graphs of all these functions have different y-intercepts.

Question 5

Which graph can be obtained by translating the graph of h(x) = 0.33x$^2$ + 2 down 7 units?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/c9c4c22b8b009fae7d8601abc90d31bf5505a68e.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/8d6d471ced337495ea44eebdd2294984b7fcf023.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/4c62f645917cc69bd0ce1690f2364d139aec63d9.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/aea016a07868dedfe8b8db2641b0a4c7e1d34858.png

Question 6

An architecture student is drawing a graph of an arch. As shown below, the arch has the shape of a parabola that begins at the origin and has a vertex at (4.6, 12.2). Other than the origin, at which point will the graph intersect the x-axis?

Accepted Answer

(9.2, 0)

Answer

(10.6, 0)

Answer

(12.2, 0)

Answer

(4.6, 0)

Question 7

Points (3, 2) and (7, 2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward. Which of these statements are true?

Accepted Answer

I and III

Answer

I only

Answer

II only

Answer

II and IV

Question 8

The graph below shows the change in the value of a car over several years. Based on the information in the graph, which conclusion appears to be true?

Accepted Answer

The car lost less of its value between years 9 and 10 than between years 1 and 2.

Answer

The car lost about one-quarter of its value every year.

Answer

The car lost more of its value between years 9 and 10 than between years 1 and 2.

Answer

The car lost about one-half of its value every 3 years.

Question 9

Quadratic functions g and k are shown below.

g(x) = 5x$^2$ - 12
k(x) = 5x$^2$ + c

For what value of c will the graph of k be 9 units above the graph of g?

Accepted Answer

-3

Question 10

The graph models A, the area in square feet of a rectangular porch with a length that is 0.56w less than 28 ft given a width of w feet. Based on the graph, what is the width in feet of the porch with the greatest area?

Accepted Answer

25 ft

Answer

175 ft

Answer

50 ft

Answer

350 ft

Question 11

The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%, which graph models this situation after the office worker receives x annual increases?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/56d8fe92d765637c76a83dee4ce5861a1baa80e5.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/da3d71e591c9650fe288c92936ebe2820e21d224.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/f7aa49622c4987ef19acf6269570a32e0d13a9d6.PNG

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/decb867c06fa4f5d1c188cf02fc2e6761d3b8063.PNG

Question 12

The exponential function modeled below represents the number of square kilometers of land occupied by cane toads x years after this animal was first introduced into Australia.
Based on the data, which measurement is closest to the number of square kilometers of land that will be occupied by cane toads 40 years after this animal was first introduced into Australia?

Accepted Answer

800,000 km$^2$

Answer

550, 000 km$^2$

Answer

600, 000 km$^2$

Answer

1, 250, 000 km$^2$

Question 13

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function is true?

Accepted Answer

The range is the set of all real numbers greater than 0.

Answer

The domain is the set of all real numbers greater than 4.

Answer

The range is the set of all real numbers less than 0.

Answer

The domain is the set of all real numbers less than 4.

Question 14

A toy is made up of cylindrical rings stacked on a base, as shown in the diagram. The diameter of Ring 1 is 87% of the diameter of the base. For Ring 2 through Ring 7, the diameter of each ring is 87% of the diameter of the ring directly below it. The diameter of the base is 5 inches. 
Which function can be used to find the diameter in inches of Ring r, where 1 ≤ r ≤ 7?

Accepted Answer

d(r) = 5(0.87)$^r$

Answer

d(r) = 0.87 (5)$^r$

Answer

d(r) = 0.87(r - 5)

Answer

d(r) = 5(r - 0.87)

Question 15

The table contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship?

Accepted Answer

q(x)= 0.0625(4)$^x$

Answer

q(x) = 256(0.25)$^x$

Answer

q(x) = (0.25)$^x$

Answer

q(x) = 0.5 (4)$^x$

Question 16

The number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid, where x is the number of years since 1992. Based on the graph, which statement does not appear to be true?

Accepted Answer

Since 1992 the coffee company has opened 250 stores each year.

Answer

The coffee company had opened 400 stores by the end of 1992.

Answer

Every year the number of stores the coffee company opened increased by 25%.

Answer

The coffee company opened 100 stores in one year.

Question 17

The graph of an exponential function is shown on the grid. Which dashed line is an asymptote for the graph?

Accepted Answer

Line s

Answer

Line r

Answer

Line t

Answer

Line q

Question 18

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

Accepted Answer

n = 4(2)$^h$

Answer

n = 4 + ($\frac{1}{2}$)$^2$

Answer

n = 4 ($\frac{1}{2}$)$^2$

Answer

n = 4 + (2)$^2$

Question 19

The population of Center City is modeled by exponential function f, where x is the number of years after the year 2015. The graph of f is shown on the grid. Which inequality best represents the range of f in this situation?

Accepted Answer

y ≥ 250,000

Answer

0 ≤ x ≤ 110

Answer

x ≥ 0

Answer

250,000 ≤ y ≤ 1,000,000

Question 20

A student used f(x) = 5.00(1.012)$^x$ to show how the balance in a savings account will increase over time. What does the 5.00 represent?

Accepted Answer

The starting balance of the savings account.

Answer

The number of years the savings account has earned interest.

Answer

The annual interest rate of the savings account.

Answer

The interest the savings account earned for the first year.

Question 21

The amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards. Which function models the amount of fertilizer in cubic yards left after w weeks?

Accepted Answer

f(w) = 78, 000(0.97)$^w$

Answer

f(w) = 0.97(78,000)$^w$

Answer

f(w) = 78,000(1.03)$^w$

Answer

f(w) = 1.03(78,000)$^w$

Question 22

Which statement about the graph of 
y = $\frac{1}{3}$($\frac{2}{3}$)$^x$ is true?

Accepted Answer

The graph decreases from left to right.

Answer

The graph has a vertical asymptote.

Answer

The graph has an asymptote at y = $\frac{1}{3}$.

Answer

The graph crosses the y-axis at (0, $\frac{2}{9}$).

Question 23

Which statement about the graph of $y = 8(0.25)^x$ is true?

Accepted Answer

The coordinates of the $y$-intercept are $(0, 8)$.

Answer

The graph includes the point $(2, 1)$.

Answer

The equation of the asymptote is $x = 0$.

Answer

The coordinates of the $x$-intercept are $(0.25, 0)$.

Question 24

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of $x$ rounds?

Accepted Answer

$f (x) = 1,024(0.50)^x$

Answer

$f (x) = 1,024(0.05)^x$

Answer

$f(x ) = 1,024(1.05)^x$

Answer

$f (x) = 1,024(1.50)^x$

Question 25

What appears to be the domain of the part of the exponential function graphed on the grid?

Accepted Answer

$-1\le x \le 3$

Answer

$5.3\le y \le 27$

Answer

$-1\le y \le 3$

Answer

$5.3\le x \le 27$

Question 26

In the year 1900, the total number of metric tons of copper produced in the world was 495,000. Each year since 1900, the total number of metric tons of copper produced has increased on average by about 3.25% over the amount produced the previous year. Which function models the total number of metric tons of copper produced in the year that is $x$ years since 1900?

Accepted Answer

$c(x) = 495,000(1.0325)^x$

Answer

$c(x) = 495,000x^{1.0325}$

Answer

$c(x) = 495,000(0.9675)^x$

Answer

$c(x) = 495,000x^{0.9675}$

Question 27

Which graph best represents $f(x) = 2(5)^x$?

Accepted Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/5cf44fd5-96e1-e5fe-59cb-da005bae6540.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/384e4fe2-30a8-15aa-5fbe-71309ae16877.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/699b1e80-a188-8da4-d8b2-b53ec94f910f.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/27842470-fcf1-b46b-3c15-39b51773f0ef.png

Question 28

Scientists are studying a bacteria sample. The function $f(x) = 245(1.12)^x$ gives the number of bacteria in the sample at the end of $x$ days.
Which statement is the best interpretation of one of the values in this function?

Accepted Answer

The number of bacteria increases at a rate of 12% each day.

Answer

The initial number of bacteria is 12.

Answer

The number of bacteria at the end of one day is 245.

Answer

The initial number of bacteria decreases at a rate of 88% each day.

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