Please Help!The function ƒ(x) = is reflected across the x-axis and vertically stretched by a factor of 2. Select the

4 answers
Question:

Please Help! The function ƒ(x) = is reflected across the x-axis and vertically stretched by a factor of 2. Select the correct graph for the resulting function.
Question 1 options:
A)
image
B)
image
C)
image
D)
image
Question 2 (5 points)
image
The table shows the cost of some apples. Which function ƒ(x) is represented in the table?
Question 2 options:
A)
ƒ(x) = 2x + 2
B)
ƒ(x) = 0.5x
C)
ƒ(x) = 0.5x + 2
D)
ƒ(x) = 2x
Question 3 (5 points)
Use a table of values to graph the function ƒ(x) = –3|x|. Select the correct graph below.
Question 3 options:
A)
image
B)
image
C)
image
D)
image
Question 4 (5 points)
Which expression is equivalent to 9x – 3y – 5x + 7y + x + y?
Question 4 options:
A)
10xy
B)
5x + 5y
C)
4x + 4y
D)
5x2 + 4y2
Question 5 (5 points)
Select the relationship that does represent a function.
Question 5 options:
A)
image
B)
image
C)
image
D)
image
Question 6 (5 points)
Use a table of values to graph the function ƒ(x) = x−−√. Choose the correct graph from the options below.
Question 6 options:
A)
image
B)
image
C)
image
D)
image
Question 7 (5 points)
Saved
image
The table shows the miles and total cost of renting a moped. Which function ƒ(x) is represented in the table?
Question 7 options:
A)
ƒ(x) = 0.5x + 10
B)
ƒ(x) = 0.4x + 12
C)
ƒ(x) = 5x – 10
D)
ƒ(x) = x + 8
Question 8 (5 points)
Select the only true statement below.
Question 8 options:
A)
The graph of an odd function is symmetric with respect to the y-axis.
B)
The graph of an even function is symmetric with respect to the y-axis.
C)
The graph of an odd function is symmetric with respect to the x-axis.
D)
The graph of an even function is symmetric with respect to the x-axis.
Question 9 (5 points)
Mary is selling chocolate bars to raise money. She earns $3 for each solid milk chocolate bar sold and $4 for each caramel-filled bar sold. If m represents the number of milk chocolate bars sold, and c represents the number of caramel bars sold, which of the following expressions represents the amount of money that Mary has raised?
Question 9 options:
A)
3m – 4c
B)
m∕3 + i∕4
C)
3m + 4c
D)
12mc
Question 10 (5 points)
image
Describe the transformation that takes place on the graph of ƒ(x) = x−−√3 to create the graph above.
Question 10 options:
A)
The graph is translated 2 units in the positive x-direction.
B)
The graph is vertically shrunk by a factor of ½.
C)
The graph is reflected across the y-axis.
D)
The graph is reflected across the x-axis.
Question 11 (5 points)
Which of the following ordered pairs is a solution of the function ƒ(x) = 3x – 1?
Question 11 options:
A)
(–1, –4)
B)
(–1, 2)
C)
(–1, 4)
D)
(–1, –3)
Question 12 (5 points)
What's the slope and y-intercept of the graph of 7x + y = 8?
Question 12 options:
A)
Slope = –7, y-intercept = –8
B)
Slope = –8, y-intercept = 7
C)
Slope = 7, y-intercept = 8
D)
Slope = –7, y-intercept = 8
Question 13 (5 points)
image
Complete the table for the function y = x−−√3 + 7.
Question 13 options:
A)
–5, –6, –8, –9
B)
9, 8, 6, 5
C)
5, 6, 8, 9
D)
–9, –8, –6, –5
Question 14 (5 points)
Saved
Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a. m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home.
Question 14 options:
A)
c = 25 + 10p + 5h
B)
c = 25 + 10 + 5
C)
c + 25 = 10p + 5h
D)
c = 25 – 10p – 5h
Question 15 (5 points)
The graph below represents taxi fares in the city of Chicago. If a woman travels 8.5 miles by taxi, what would you expect her fare to be? Give an estimate to the nearest dollar.
image
Question 15 options:
A)
$21
B)
$22
C)
$24
D)
$20
Question 16 (5 points)
Select the correct graph for the function ƒ(x) = 3x + 4.
Question 16 options:
A)
image
B)
image
C)
image
D)
image
Question 17 (5 points)
Use a table of values to graph the function ƒ(x) = |x + 2| – 1. Select the correct graph below.
Question 17 options:
A)
image
B)
image
C)
image
D)
image
Question 18 (5 points)
image
Write the equation of the line shown in the graph above in slope-intercept form.
Question 18 options:
A)
y = –x + 2∕3
B)
y = –2∕3x + 1
C)
y = 2∕3x + 1
D)
2x + 3y = 3
Question 19 (5 points)
Select the correct graph for the function ƒ(x) = –x – 7.
Question 19 options:
A)
image
B)
image
C)
image
D)
image
Question 20 (5 points)
The function ƒ(x) = x−−√3 is translated 3 units in the negative y-direction and 8 units in the negative x- direction. Select the correct equation for the resulting function.
Question 20 options:
A)
ƒ(x) = + 8
B)
ƒ(x) = – 8
C)
ƒ(x) = ƒ(x) = – 3
D)
ƒ(x) = ƒ(x) = – 3

Answers

1) y2-y1/x2-x1 = -5-1/4-2 = -6/2 = -3

2) The triangles are proportional to each other because, the bigger triangles AB(base) to BC(height) ratio is 8:4, which if simplified would be 4:2, and the smaller triangles is 4:2, which is the same. In other words, both of the triangles are the same. 

3) y=0.15x, so the slope is 0.15, and each pencil costs 15 cents, or 0.15 dollar.

4) y=55x, where x=5, so y=55(5)=275.
The bus will travel 275 miles in 5 hours.

5) Slope-intercept form : y=mx+b, where m=slope, and b=y-int.
So, C = 15t+4 is the equation.

6) Yes, this graph does show a proportional relationship, because it costs $1 for every 10 photos, and this ratio is same for every amount of photos.

7) y-y1 = m(x-x1)
y-6 = 4(x-4)
y-6 = 4x - 16
y = 4x - 10

8) Olivia: y=2x
    Matt: y=3x
Matt travels at a faster rate, and I know this because Matt walks at 3 miles per hour, while Olivia walks 2 miles per hour, and obviously 3 mph is faster than 2 mph.

1. slope is -6/2 which simplifies to -3
4. it will travel 275 miles
3. the slope of the line is .15, each pencil costs 15 cents
thats all ik

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