Question
Moi Alebwa assignmewnt
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.
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.
Answers
GPT-4o mini
## Part 1: Research on Logos
### Favorite Logos
1. **Nike Swoosh**:
- **Appeal**: The Nike Swoosh is a brilliant example of simplicity and movement. Its dynamic curve represents speed, motion, and performance, which is exactly what the brand embodies. The sleek design is easily recognizable and works well in both large and small formats. The logo's minimalism allows it to be versatile across various products.
2. **Apple**:
- **Appeal**: Apple's logo is iconic due to its clean and elegant silhouette of an apple with a bite taken out of it. Its simplicity reflects the minimalist design philosophy of the brand. The logo is memorable and has a sense of innovation and sophistication, appealing to a sense of modern technology and elegance.
3. **McDonald's Golden Arches**:
- **Appeal**: The Golden Arches of McDonald's are instantly recognizable. The bold yellow color and the arch shape evoke feelings of comfort and familiarity, which aligns with the brand's goal of being a fast and accessible dining option. The logo’s shape also mimics a smile, creating a positive emotional response.
## Part 2: Logo Design
### Logo Concept
For my logo design, I envision a logo for a new health and wellness brand named "Vitality." The logo will take the shape of a heart, symbolizing health, care, and well-being.
### Design Elements
1. **Parent Function**:
- I'll use the equation of a circle as the parent function:
- \( (x - h)^2 + (y - k)^2 = r^2 \)
2. **Transformations**:
- **Vertical Stretch**: To create an elongated heart shape, I will stretch the circle vertically. The new equation will be:
- \( \frac{(x - h)^2}{r^2} + \frac{(y - k)^2}{(dr)^2} = 1 \) (where \(d > 1\))
- **Shift**: I'll shift the heart shape up to represent the notion of 'uplifting' health. The equation becomes:
- \( (x - 0)^2 + \frac{(y - 2)^2}{(2)^2} < 1 \)
- **Reflection**: To create the lower part of the heart, we will reflect the upper part around the x-axis, creating a complete heart shape.
### Final Equation
Combining these transformations, the heart shape can be expressed as:
- Upper part: \( y = \sqrt{4 - x^2} + 2 \) for \( x \) in the domain [-2, 2].
- Lower part: \( y = -\sqrt{4 - x^2} + 2 \) for \( x \) in the domain [-2, 2].
## Part 3: Specifics and Pitch
### Color Palette
- The primary color of the logo will be a vibrant green (#65B32D) symbolizing health, vitality, and nature.
- For the background, a soft white or light beige will help the heart shape stand out while maintaining a clean and modern look.
### Design Specifics
- **Equations**: As noted above, the heart shape is derived from:\( y = \sqrt{4 - x^2} + 2 \) and \( y = -\sqrt{4 - x^2} + 2 \) with the domain restrictions of \( x \in [-2, 2] \).
- **Intersection Points**: The heart intersects the x-axis at the points (-2, 0) and (2, 0) and meets the y-axis at (0,2), indicating a clear visualization of the heart shape.
### Pitch
The "Vitality" logo effectively embodies the essence of health and wellness through its heart design. The vibrant green color represents growth and renewal, while the heart shape conveys a strong message of care and vitality. This logo will resonate with our target audience, attracting individuals seeking to improve their health and well-being, and will ultimately help in establishing a trustworthy and relatable brand presence in the wellness industry.
### Favorite Logos
1. **Nike Swoosh**:
- **Appeal**: The Nike Swoosh is a brilliant example of simplicity and movement. Its dynamic curve represents speed, motion, and performance, which is exactly what the brand embodies. The sleek design is easily recognizable and works well in both large and small formats. The logo's minimalism allows it to be versatile across various products.
2. **Apple**:
- **Appeal**: Apple's logo is iconic due to its clean and elegant silhouette of an apple with a bite taken out of it. Its simplicity reflects the minimalist design philosophy of the brand. The logo is memorable and has a sense of innovation and sophistication, appealing to a sense of modern technology and elegance.
3. **McDonald's Golden Arches**:
- **Appeal**: The Golden Arches of McDonald's are instantly recognizable. The bold yellow color and the arch shape evoke feelings of comfort and familiarity, which aligns with the brand's goal of being a fast and accessible dining option. The logo’s shape also mimics a smile, creating a positive emotional response.
## Part 2: Logo Design
### Logo Concept
For my logo design, I envision a logo for a new health and wellness brand named "Vitality." The logo will take the shape of a heart, symbolizing health, care, and well-being.
### Design Elements
1. **Parent Function**:
- I'll use the equation of a circle as the parent function:
- \( (x - h)^2 + (y - k)^2 = r^2 \)
2. **Transformations**:
- **Vertical Stretch**: To create an elongated heart shape, I will stretch the circle vertically. The new equation will be:
- \( \frac{(x - h)^2}{r^2} + \frac{(y - k)^2}{(dr)^2} = 1 \) (where \(d > 1\))
- **Shift**: I'll shift the heart shape up to represent the notion of 'uplifting' health. The equation becomes:
- \( (x - 0)^2 + \frac{(y - 2)^2}{(2)^2} < 1 \)
- **Reflection**: To create the lower part of the heart, we will reflect the upper part around the x-axis, creating a complete heart shape.
### Final Equation
Combining these transformations, the heart shape can be expressed as:
- Upper part: \( y = \sqrt{4 - x^2} + 2 \) for \( x \) in the domain [-2, 2].
- Lower part: \( y = -\sqrt{4 - x^2} + 2 \) for \( x \) in the domain [-2, 2].
## Part 3: Specifics and Pitch
### Color Palette
- The primary color of the logo will be a vibrant green (#65B32D) symbolizing health, vitality, and nature.
- For the background, a soft white or light beige will help the heart shape stand out while maintaining a clean and modern look.
### Design Specifics
- **Equations**: As noted above, the heart shape is derived from:\( y = \sqrt{4 - x^2} + 2 \) and \( y = -\sqrt{4 - x^2} + 2 \) with the domain restrictions of \( x \in [-2, 2] \).
- **Intersection Points**: The heart intersects the x-axis at the points (-2, 0) and (2, 0) and meets the y-axis at (0,2), indicating a clear visualization of the heart shape.
### Pitch
The "Vitality" logo effectively embodies the essence of health and wellness through its heart design. The vibrant green color represents growth and renewal, while the heart shape conveys a strong message of care and vitality. This logo will resonate with our target audience, attracting individuals seeking to improve their health and well-being, and will ultimately help in establishing a trustworthy and relatable brand presence in the wellness industry.