Moi Algebwa assignmewnt

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.

My fav brands: Chevy, the Ram trucks RAM symbol, and also the Dollar Tree logo

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.

In this case, a Christian Music business. Also, use only 8th grade graph functions and nothing for a circle. try parabola's or something.

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.

Answer 1

Algebwa Assignment

Part 1: Logo Research

Favorite Brands and Their Logos

1. Chevy (Chevrolet):

   • Description: The Chevy logo consists of a simple yet bold cross-shaped emblem known as the "bowtie." It is synonymous with Americana and exudes a sense of ruggedness and efficiency.
   • Appeal: The simplicity and symmetry of the bowtie shape make it easily recognizable. The use of gold in the logo adds a sense of prestige that aligns well with their branding, suggesting reliability and quality.

2. RAM Trucks:

   • Description: The RAM logo features a stylized representation of a ram's head, which conveys strength and durability. It’s primarily black and silver, emphasizing a tough, robust image.
   • Appeal: The powerful and aggressive aesthetics of the ram's head resonate with the target audience of truck buyers, evoking feelings of strength and dependability. The bold lines and contrast of colors create a striking visual impact.

3. Dollar Tree:

   • Description: The Dollar Tree logo is straightforward, with green lettering against a white backdrop and a small green tree icon.
   • Appeal: The simplicity and clarity of the logo make it approachable and affordable. The green color evokes feelings of growth and prosperity, aligning perfectly with the brand's values of providing value to its customers.

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Part 2: Logo Design for a Christian Music Business

Design Concept

For the Christian Music business, I will create a logo using a parabolic shape, which symbolizes upliftment and a sense of transcendence.

Equations and Transformations

1. Parent Function:

   • The parent function is a parabola: \( f(x) = x^2 \).

2. Transformations:

   • Vertical Stretch: To elongate the parabola, I will use the equation \( f(x) = 2x^2 \) to make it taller.
   • Vertical Shift: To symbolize reaching towards heaven, I will also shift it up, using \( f(x) = 2x^2 + 3 \).

3. Final Logo Function:

   • The final equation for the logo will thus be: \[ f(x) = 2x^2 + 3 \]

Domain Restrictions

• The domain will be restricted to \( x \in [-2, 2] \) to keep the logo compact and visually appealing.

Intersection Points

• The parabola will intersect the y-axis at \( (0, 3) \) and will rise on both sides as x values move away from zero.

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Part 3: Logo Specifications and Pitch

Logo Specifications

• Equation: \( f(x) = 2x^2 + 3 \)
• Domain: \( x \in [-2, 2] \)
• Color Scheme:
  • The main color for the parabola will be a vibrant blue, representing tranquility and peace, which is often associated with Christian values.
  • The background can be white for clarity, with a golden outline of the parabola to symbolize divinity and upliftment.

Pitch

This logo eloquently represents our Christian Music brand by utilizing the upward-opening parabola to symbolize spiritual growth and elevation. The vibrant blue combined with gold creates a visually appealing and meaningful design that resonates with our target audience. By focusing on the theme of upliftment and transcendence, this logo is not only eye-catching but also deeply connected to the values of our brand, making it a perfect fit to attract our customers.