Question
Imagine you are working in the advertising department for a new brand. During your first meeting, the executives state that they need a logo that will catch people’s attention. To solve this problem, it is your job to research logos and create one that will fit the company’s brand.
Part 1
Research current and past logos used by a variety of companies. Think about your favorite brands. What type of shapes or lines do they use in their logos? Choose two or three logos and describe why each one is appealing to you.
Part 2
Use computer technology or a piece of paper to design your own logo. Use at least one parent function and two transformations in your logo design.
Part 3
Write up the specifics of your design so that the advertising department’s art team can create a finalized version. You should include the equations you used in your design, along with any domain restrictions or important intersection points. You should also include relevant information about colors. Finally, write a short pitch (3–5 sentences) about why your logo is the best choice for your company and why you think it will appeal to buyers.
For the first question, here is my answer.
I like the CORVETTE logo because it features two crossed flags for racing, representing the speed desired in muscle cars like the Corvette.
I like the Logo of SKILLET, my favorite Christian Rock band. They have an electrifying design that appeals to people who, like me, love Christian rock.
And last but not least, I love the RAM trucks logo. The Ram shows strength and ruggedness, qualities I would like in a heavy-duty truck.
Question 2
Let’s say I’m working in a Christian Music brand-company and I am supposed to design the Brand’s logo. I will make add curves to make a parabolic shape. A equation could be f(x) = 2x^2 + 3
However, the actual logo may not be so accurate.
Question 3
Here are the logo specifics:
Equation: f(x)=2x^2 + 3
Colors: The color of the parabola will be blue outlined in gold with a white outline. A cross could stand in the midst of the parabola, with star-shapes surrounded. The parabola could have castles, towers, heavenly structures, etc. inside it like a valley.
Description: The parabola opening upwards represents spiritual growth; the gold and yellow enlighten the spirit. It helps the customer’s understand that this company is focused on uplifting people and making them feel good about themselves. Adding a cross to the center will make it clear that the company is Christian, so it will definitely make this project a success.
Part 1
Research current and past logos used by a variety of companies. Think about your favorite brands. What type of shapes or lines do they use in their logos? Choose two or three logos and describe why each one is appealing to you.
Part 2
Use computer technology or a piece of paper to design your own logo. Use at least one parent function and two transformations in your logo design.
Part 3
Write up the specifics of your design so that the advertising department’s art team can create a finalized version. You should include the equations you used in your design, along with any domain restrictions or important intersection points. You should also include relevant information about colors. Finally, write a short pitch (3–5 sentences) about why your logo is the best choice for your company and why you think it will appeal to buyers.
For the first question, here is my answer.
I like the CORVETTE logo because it features two crossed flags for racing, representing the speed desired in muscle cars like the Corvette.
I like the Logo of SKILLET, my favorite Christian Rock band. They have an electrifying design that appeals to people who, like me, love Christian rock.
And last but not least, I love the RAM trucks logo. The Ram shows strength and ruggedness, qualities I would like in a heavy-duty truck.
Question 2
Let’s say I’m working in a Christian Music brand-company and I am supposed to design the Brand’s logo. I will make add curves to make a parabolic shape. A equation could be f(x) = 2x^2 + 3
However, the actual logo may not be so accurate.
Question 3
Here are the logo specifics:
Equation: f(x)=2x^2 + 3
Colors: The color of the parabola will be blue outlined in gold with a white outline. A cross could stand in the midst of the parabola, with star-shapes surrounded. The parabola could have castles, towers, heavenly structures, etc. inside it like a valley.
Description: The parabola opening upwards represents spiritual growth; the gold and yellow enlighten the spirit. It helps the customer’s understand that this company is focused on uplifting people and making them feel good about themselves. Adding a cross to the center will make it clear that the company is Christian, so it will definitely make this project a success.
Answers
GPT-4o mini
### Part 1
In researching various logos, I found a few that resonate with me greatly:
1. **CORVETTE Logo**: The Corvette logo features two distinct crossed flags, which symbolize speed and excitement—traits associated with the sports car itself. The flags create a sense of motion and dynamic energy, appealing to car enthusiasts. The simplicity yet boldness of the design makes it instantly recognizable and memorable, encapsulating the spirit of what the brand represents.
2. **SKILLET Logo**: The logo for SKILLET has a striking and electrifying look that matches the intensity of their music. The use of sharp edges and a stylized font conveys a sense of power and energy, reflecting their Christian rock identity. The dark colors combined with splashes of metallic tones create a gritty, edgy feel that resonates well with their fan base, making it visually engaging.
3. **RAM Trucks Logo**: The RAM logo features a strong ram head that embodies qualities such as strength and ruggedness—the essence of the brand. The bold lines and symmetrical design give the logo a sense of stability and durability, which is essential for heavy-duty trucks. Its simplicity allows for easy recognition, while the animal imagery conveys performance and reliability, appealing to truck enthusiasts and working professionals alike.
### Part 2
For the Christian Music brand's logo design, I will incorporate a parabolic shape along with transformations. The parent function I will use is the quadratic function \(f(x) = 2x^2 + 3\).
Transformations:
1. **Vertical Translation**: The "+3" indicates a vertical shift upwards by three units, ensuring the vertex of the parabola is elevated.
2. **Vertical Stretch**: The "2" in front of the \(x^2\) indicates that the parabola is vertically stretched, making it appear narrower and more dynamic.
The parabolic shape can represent upward growth and hope, which aligns with the Christian music brand's mission.
### Part 3
**Logo Specifics**:
- **Equation**: \(f(x) = 2x^2 + 3\)
- **Transformations**:
- Vertical stretch by a factor of 2.
- Vertical shift upward by 3 units.
- **Colors**: The parabola will be in blue with a golden outline. The white highlights will give it a fresh and uplifting feel. A cross will be centered in the parabola, surrounded by star shapes to symbolize guidance and light. Inside the parabola, elements such as castles, towers, and heavenly structures will represent spiritual growth.
**Pitch**:
The logo designed for our Christian Music brand uniquely embodies the spirit of upliftment and growth. The upward-opening parabola represents the journey of spiritual growth and enlightenment, while the colors convey a sense of hope and joy. With the addition of the cross and heavenly imagery, it unmistakably communicates our Christian values, appealing deeply to our target audience and creating an instant connection with potential customers. This logo not only stands out visually but also powerfully resonates with the heart of our mission.
In researching various logos, I found a few that resonate with me greatly:
1. **CORVETTE Logo**: The Corvette logo features two distinct crossed flags, which symbolize speed and excitement—traits associated with the sports car itself. The flags create a sense of motion and dynamic energy, appealing to car enthusiasts. The simplicity yet boldness of the design makes it instantly recognizable and memorable, encapsulating the spirit of what the brand represents.
2. **SKILLET Logo**: The logo for SKILLET has a striking and electrifying look that matches the intensity of their music. The use of sharp edges and a stylized font conveys a sense of power and energy, reflecting their Christian rock identity. The dark colors combined with splashes of metallic tones create a gritty, edgy feel that resonates well with their fan base, making it visually engaging.
3. **RAM Trucks Logo**: The RAM logo features a strong ram head that embodies qualities such as strength and ruggedness—the essence of the brand. The bold lines and symmetrical design give the logo a sense of stability and durability, which is essential for heavy-duty trucks. Its simplicity allows for easy recognition, while the animal imagery conveys performance and reliability, appealing to truck enthusiasts and working professionals alike.
### Part 2
For the Christian Music brand's logo design, I will incorporate a parabolic shape along with transformations. The parent function I will use is the quadratic function \(f(x) = 2x^2 + 3\).
Transformations:
1. **Vertical Translation**: The "+3" indicates a vertical shift upwards by three units, ensuring the vertex of the parabola is elevated.
2. **Vertical Stretch**: The "2" in front of the \(x^2\) indicates that the parabola is vertically stretched, making it appear narrower and more dynamic.
The parabolic shape can represent upward growth and hope, which aligns with the Christian music brand's mission.
### Part 3
**Logo Specifics**:
- **Equation**: \(f(x) = 2x^2 + 3\)
- **Transformations**:
- Vertical stretch by a factor of 2.
- Vertical shift upward by 3 units.
- **Colors**: The parabola will be in blue with a golden outline. The white highlights will give it a fresh and uplifting feel. A cross will be centered in the parabola, surrounded by star shapes to symbolize guidance and light. Inside the parabola, elements such as castles, towers, and heavenly structures will represent spiritual growth.
**Pitch**:
The logo designed for our Christian Music brand uniquely embodies the spirit of upliftment and growth. The upward-opening parabola represents the journey of spiritual growth and enlightenment, while the colors convey a sense of hope and joy. With the addition of the cross and heavenly imagery, it unmistakably communicates our Christian values, appealing deeply to our target audience and creating an instant connection with potential customers. This logo not only stands out visually but also powerfully resonates with the heart of our mission.