What are the transformations of y=1/2(x-3)2-1?

vertically stretched by a factor of 1/2, horizontally shifted right 3, vertically shifted down 1

vertically stretched by a factor of 1/2, horizontally shifted left 3, vertically shifted down 1

horizontally stretched by a factor of 1/2, horizontally shifted left 3, vertically shifted down 1

horizontally stretched by a factor of 1/2, horizontally shifted right 3, vertically shifted down 1

Nicole owns a candy store. She sells hard candy for $2/kg and soft candy for $4/kg. How can she mix the two types of candy to create 60kg of mixture that she can sell for $3/kg?

60 kg soft candy 0kg hard candy

45 kg soft candy and 15 hard candy

30 kg soft candy 30 kg hard candy

26 kg soft candy 34 kg hard candy

Mr. Horgan enjoys holding dances for all of his shark friends. Mr. Horgan created an equation to model his revenue: R=-60t2+600t. Find the maximum profit and the ticket price that yields this profit.

Ticket Price:$983.75 with Profit of $5.75

Ticket Price $1.70 with Profit of $9.80

Ticket Price: $5.75 with Profit of $983.75

Solve for all unknown (q,y, and x).

x=64.2 degree, y=25.8 degree, q=13 cm

y=64.2 degree, x=25.8 degree, q=4 cm

y=60 degree, x=30 degree, q=6 cm

y=64.2 degree, x=25.8 degree, q=13 cm

How would you rate Mr. Horgan's Class?

10- Mr. Horgan is a great teacher

10-I wished I could take it again, I love MATH!!!

Are You Ready For Your Exam?

Approved & Edited by ProProfs Editorial Team

At ProProfs Quizzes, our dedicated in-house team of experts takes pride in their work. With a sharp eye for detail, they meticulously review each quiz. This ensures that every quiz, taken by over 100 million users, meets our standards of accuracy, clarity, and engagement.

Learn about Our Editorial Process

| Written by Marshal

Marshal

Community Contributor

Quizzes Created: 1 | Total Attempts: 122

Questions: 20 | Attempts: 122 | Updated: Mar 21, 2022

Here is a way to check if your ready for your exam. Try the questions do the work and see how much you remember! :)

Questions and Answers

1.

Find the vertex of A=-w²+30w?
- A.
  
  (15,225)
- B.
  
  (10,225)
- C.
  
  (30,2)
- D.
  
  None of the above
2.

Use substitution to solve this linear system y=5x-26x+3y=36.
- A.
  
  (8,2)
- B.
  
  (2,8)
- C.
  
  (4,1)
- D.
  
  (1,4)
3.

Is triangle PQR with vertices p(2,1), Q(-1,-3) and R(6,-2), an isosceles, equilateral or scalene triangle?
- A.
  
  Isosceles
- B.
  
  Equilateral
- C.
  
  Scalene
4.

Expand (2x+3)(3x-7).
- A.
  
  6x^2+9x-14x-21
- B.
  
  6x^2-5x-21
- C.
  
  6x-10
- D.
  
  6x^2-10
5.

Find the distance from P(3,-5) to the origin to one decimal place.
- A.
  
  5.6
- B.
  
  4.8
- C.
  
  5.7
- D.
  
  5.8
6.

Find the equation of the perpendicular bisecotr of the line segment joining P(-1,4) to Q(3,-2).
- A.
  
  Y=1/3x+2/3
- B.
  
  Y=3x+3/2
- C.
  
  Y=2/3x+1/3
- D.
  
  Y=2/3x+3
7.

The zeros of a parabola are -3 and 5. The parabola crosses the y-axis at -75. What is the equation of the quadratic equation.
- A.
  
  Y=(x+3)(x-5)
- B.
  
  Y=3(x-5)(x+5)
- C.
  
  Y=5(x-3)(x+5)
- D.
  
  None of the above
8.

What are the transformations of y=1/2(x-3)²-1?
- A.
  
  Vertically stretched by a factor of 1/2, horizontally shifted right 3, vertically shifted down 1
- B.
  
  Vertically stretched by a factor of 1/2, horizontally shifted left 3, vertically shifted down 1
- C.
  
  Horizontally stretched by a factor of 1/2, horizontally shifted left 3, vertically shifted down 1
- D.
  
  Horizontally stretched by a factor of 1/2, horizontally shifted right 3, vertically shifted down 1
9.

A glassworks that makes lead-cyrstal bowls has a daily production cost C in dollars given by the relation C=0.2b² - 10b +650, where b is the number of bowls made. How many bowls should be made to minimize the production cost?
- A.
  
  10
- B.
  
  5
- C.
  
  20
- D.
  
  25
10.

How many roots does -5x²+8x-10=0 have
- A.
  
  0
- B.
  
  1
- C.
  
  2
- D.
  
  However many I want
11.

A triangle lot sits at the corner of 2 streets that intersects at an angle of 58 degrees. One street side of the lot is 32m and the other is 40m. How long is the back of lot (the third side), to the nearest metre? (Use a diagram)
- A.
  
  25
- B.
  
  30
- C.
  
  36
- D.
  
  None of the above
12.

Find angle B when
- A.
  
  50 degrees
- B.
  
  52 degrees
- C.
  
  Sin B=(12 sin 48 degrees)/11.3
- D.
  
  Both c and b
13.

Nicole owns a candy store. She sells hard candy for $2/kg and soft candy for $4/kg. How can she mix the two types of candy to create 60kg of mixture that she can sell for $3/kg?
- A.
  
  60 kg soft candy 0kg hard candy
- B.
  
  45 kg soft candy and 15 hard candy
- C.
  
  30 kg soft candy 30 kg hard candy
- D.
  
  26 kg soft candy 34 kg hard candy
14.

Determine the degree of the polynomial y=x(x²+2x+1)
- A.
  
  1st degree
- B.
  
  2nd degree
- C.
  
  3rd degree
- D.
  
  No degree
15.

Find the equation of a line when it passes through the origin and has an angle of inclination of 35 degree.
- A.
  
  Y=0.7x
- B.
  
  Y=0.6x
- C.
  
  Y=0.8x
- D.
  
  I don't understand
16.

Marshal kicked a soccer ball modeled by the equation y=-4.9x² + 20.58x +0.491. How long is the ball in the air?
- A.
  
  4.22
- B.
  
  0.02
- C.
  
  -0.02
- D.
  
  4.22 or -0.02
17.

Mr. Horgan enjoys holding dances for all of his shark friends. Mr. Horgan created an equation to model his revenue: R=-60t²+600t. Find the maximum profit and the ticket price that yields this profit.
- A.
  
  Ticket Price:$983.75 with Profit of $5.75
- B.
  
  Ticket Price $1.70 with Profit of $9.80
- C.
  
  Ticket Price: $5.75 with Profit of $983.75
- D.
  
  Mr. Horgan likes Sharks???!!!
18.

Solve for all unknown (q,y, and x).
- A.
  
  X=64.2 degree, y=25.8 degree, q=13 cm
- B.
  
  Y=64.2 degree, x=25.8 degree, q=4 cm
- C.
  
  Y=60 degree, x=30 degree, q=6 cm
- D.
  
  Y=64.2 degree, x=25.8 degree, q=13 cm
19.

Solve for x (Angle A).
- A.
  
  56 degrees
- B.
  
  43 degrees
- C.
  
  55 degrees
- D.
  
  49 degrees
20.

How would you rate Mr. Horgan's Class?
- A.
  
  10-Nicole and Marshal rocked
- B.
  
  10- Mr. Horgan is a great teacher
- C.
  
  10- I learned a lot
- D.
  
  10-I wished I could take it again, I love MATH!!!

Are You Ready For Your Exam?

Find the vertex of A=-w2+30w?

Use substitution to solve this linear system y=5x-26x+3y=36.

Is triangle PQR with vertices p(2,1), Q(-1,-3) and R(6,-2), an isosceles, equilateral or scalene triangle?

Expand (2x+3)(3x-7).

Find the distance from P(3,-5) to the origin to one decimal place.

Find the equation of the perpendicular bisecotr of the line segment joining P(-1,4) to Q(3,-2).

The zeros of a parabola are -3 and 5. The parabola crosses the y-axis at -75. What is the equation of the quadratic equation.

What are the transformations of y=1/2(x-3)2-1?

A glassworks that makes lead-cyrstal bowls has a daily production cost C in dollars given by the relation C=0.2b2 - 10b +650, where b is the number of bowls made. How many bowls should be made to minimize the production cost?

How many roots does -5x2+8x-10=0 have

A triangle lot sits at the corner of 2 streets that intersects at an angle of 58 degrees. One street side of the lot is 32m and the other is 40m. How long is the back of lot (the third side), to the nearest metre? (Use a diagram)

Find angle B when

Nicole owns a candy store. She sells hard candy for $2/kg and soft candy for $4/kg. How can she mix the two types of candy to create 60kg of mixture that she can sell for $3/kg?

Determine the degree of the polynomial y=x(x2+2x+1)

Find the equation of a line when it passes through the origin and has an angle of inclination of 35 degree.

Marshal kicked a soccer ball modeled by the equation y=-4.9x2 + 20.58x +0.491. How long is the ball in the air?

Mr. Horgan enjoys holding dances for all of his shark friends. Mr. Horgan created an equation to model his revenue: R=-60t2+600t. Find the maximum profit and the ticket price that yields this profit.

Solve for all unknown (q,y, and x).

Solve for x (Angle A).

How would you rate Mr. Horgan's Class?

Find the vertex of A=-w²+30w?

What are the transformations of y=1/2(x-3)²-1?

A glassworks that makes lead-cyrstal bowls has a daily production cost C in dollars given by the relation C=0.2b² - 10b +650, where b is the number of bowls made. How many bowls should be made to minimize the production cost?

How many roots does -5x²+8x-10=0 have

Determine the degree of the polynomial y=x(x²+2x+1)

Marshal kicked a soccer ball modeled by the equation y=-4.9x² + 20.58x +0.491. How long is the ball in the air?

Mr. Horgan enjoys holding dances for all of his shark friends. Mr. Horgan created an equation to model his revenue: R=-60t²+600t. Find the maximum profit and the ticket price that yields this profit.