IP Unit 1

Instructions:

• Identify the document by typing your full name and section number next to the yellow text.
• Rename the file by adding your last name to current file name (e.g., "u2ip_lastname.doc").
• Type your answers next to the yellow text.
• To show your work, you will need to include

• the formula with substituted values.
• the final calculated answer with units.

• To utilize the scientific calculator on your computer, do the following:
  • Open the calculator (if it is not in the accessories folder, then select Run from the Start menu)
  • Select View from the drop down menu
  • Select Scientific to utilize the calculator.
  • Note that x^y computes any number to any power (integer, fraction, decimal).

Please submit your assignment.

1. Using the quadratic equation x ² - 4 x - 5 = 0, perform the following tasks:
   1. Solve by factoring.
      Answer:
      Show work in this space.
      
      
   2. Solve by completing the square.
      Show work in this space.
      
   3. Solve by using the quadratic formula.
      Show work in this space
      
      
      
      
      
2. For the function y = x ² - 4 x - 5, perform the following tasks:
   1. Put the function in the form y = a ( x - h ) ² + k .
      Answer:
      
      Show work in this space
      
      
      
   2. What is the line of symmetry?
      
      Answer:
      
      
   3. Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a ( x – h ) ² + k .
   4. 
      Show graph here.
      
      
      
      Explanation of graphing.
      
      
   5. In your own words, describe how this graph compares to the graph of y = x ² ?
      
      Answer:
      
      
3. Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s , as a function of time, t . This function is s = -16 t ² + v ₀ t + s ₀

• 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second ² ).
• v ₀ is the initial velocity (how hard do you throw the object, measured in feet per second).
• s ₀ is the initial distance above ground (in feet). If you are standing on the ground, then s ₀ = 0.

1. What is the function that describes this problem?
   Answer:
   
   
   
2. The ball will be how high above the ground after 1 second?
   Answer:
   
   Show work in this space.
   
   
3. How long will it take to hit the ground?
   Answer:
   Show work in this space.
4. What is the maximum height of the ball? What time will the maximum height be attained?
   Answer:

Show work in this space.

4) John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be?
Answer:

Show work in this space.

Price: $13.39

Solution: The downloadable solution consists of 7 pages, 639 words and 1 charts.
Deliverable: Word Document