Your SlideShare is downloading. ×
Mth 4108-1 c
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×
Saving this for later? Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime – even offline.
Text the download link to your phone
Standard text messaging rates apply
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
529
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
2
Comments
0
Likes
0
Embeds 0
No embeds

Report content
Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
No notes for slide

Transcript

  • 1. MTH-4108 C Quadratic Functions1. Graph the following equations. Be sure to include the coordinates of at least 5 points, including the vertex, the zeros (if any) and y-intercept.a) y = 3.2x2 + 4x y xb) y = ¼x2 – 3x +1 y x
  • 2. c) y = –3x2 + x – 2 y x /302. Solve the following equations by factoring: a) 8x2 – 2x = 0 b) 3/5x2 – 2/5x + 1/5= 0 /53. Identify the true statement(s) below which pertain to quadratic functions in the form: y = ax2 + bx + c a) If a = 0, it means that the function is no longer quadratic. ____________ b) If c = 0, it means that the vertex is at (0,0). ____________ c) If b = 0, it means that the function is situated on the y-axis. ____________ d) If a > 0, it means that the function opens upward. ____________ e) If c > 0, it means that the function is above the x-axis. ____________ /5
  • 3. 4. Solve the following equations using the quadratic formula. Clearly indicate the value of ∆ and round your answers to the nearest thousandth when necessary. 5 a) /3x2 – 2/5x + 1/2= 0 b) 2x – 3x2 +2 = 0 /105. Every month, Irene sells 6 dozen roses that she grows in her garden for $20 per dozen. For every additional dozen roses she grows, she can reduce her price by $2 per dozen. How many dozen roses should she grow every month in order to maximize her total sales? Complete the following table and write the equation that can be used to solve the problem. Your equation should be in the form y = ax2 + bx + c Number of Total number of Selling Price ($) Total Sales ($) additional dozens of roses y dozens of roses x 0 6 20 6 × 20 = 120 1 6+1=7 20 – 2 = 18 7 × 18 = 126 2 3 x Write the equation in the form ax2 + bx + c which illustrates this situation. /10
  • 4. 6. Answer the following questions using the graph below: y x True or False? a) Point (-2,0) is a zero. ____________ b) Point (0,-1) is a vertex. ____________ c) The equation for the axis of symmetry is: y = 0. ____________ d) Point (-0,-1) is a minimum. ____________ e) Point (2,0) is the y-intercept. ____________ /57. Without calculating, write the equation in the form ax2 + bx + c which illustrates the following situation: A mother’s present age is triple her son’s age. In 15 years, the product of their ages will be 60 times her son’s age then. /5
  • 5. 8. The hypotenuse of a right triangle is 10 cm. Find the length of the other two sides if one side is 2 cm longer than the other, using the Pythagorean Theorem. /59. A School principal paid $180 for a certain number of desks. If the desks cost 3 dollars less, she could have bought 5 more desks for the same price. How many desks did the principal order? /1010. The function h = 24t – 6t2 represents the height (h) in centimeters reached by a champion jumping frog after t seconds. Use the method of your choice to find the frog’s maximum height. Round your answers to the nearest hundredth. /5
  • 6. 11. Tarzan swings on a vine from a tall tree, across a river, and rises upwards to another tree in a parabolic arc. The equation f = 0.04x2 – 5x + 28 describes his motion, withboth the fall (f) and distance (x) between the two trees measured in feet. Use the method of your choice to answer the following questions: a) What is the distance between the two trees? b) What is the measure of the vertical drop? /10

×