Author Question: quadratics and parent functions? (Read 1620 times)

curlz

  • Hero Member
  • *****
  • Posts: 538
1. How would I solve the using the quadratic formula? 4x² - 12x + 7 = 0

2. What would be the equation of the quadratic function with zeroes 2 and 6 and a vertex at (4,4)

3. With the parent function y = x² what would be the equation that shift the function 5 units right and 3 units up?

4. With the parent function y = ?x what would be the equation that vertically stretch the function by a factor of 5 and it 4 units down?



aero

  • Hero Member
  • *****
  • Posts: 512
Reply #1 on: Jun 18, 2013
1.- x= (12 +- sqrt (144-112))/8        x= (12+- sqrt(32))/8    

2.- a parabola  (Simetrical w/respect Y axis) )   y-k =4p(x-h)^2       (h,k )  vertex   , p focus distance
     y-4 =4p(x-4) ^2         if  x=2    y=0    ,  -4=4p(2-4)^2   ,   p= - 1/4
     y-4= -1(x-4)^2    since p<0  parabola has arms down .-

3.- Y=X^2    has vertex in (0,0)    .- You must shift the vertex coodinates 5 y 3
     Y-3 = (X-5 ) ^2      .-  

4.- Y^2 =X    ( Horizontal parabola )     It has the general form
        (y-k)^2 =4p ( x-h)  
If you want  to close it arms you must act on p  .- in your case 4p=1  or  p=1/4  
If you want close p 5 times  then p=(1/4 ) /5  =1/20   and 4p= 1/5

   (Y-0)^2 = 1/5 (X-0)       ,  Y^2= 1/5 X



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
 

Did you know?

ACTH levels are normally highest in the early morning (between 6 and 8 A.M.) and lowest in the evening (between 6 and 11 P.M.). Therefore, a doctor who suspects abnormal levels looks for low ACTH in the morning and high ACTH in the evening.

Did you know?

Drug abusers experience the following scenario: The pleasure given by their drug (or drugs) of choice is so strong that it is difficult to eradicate even after years of staying away from the substances involved. Certain triggers may cause a drug abuser to relapse. Research shows that long-term drug abuse results in significant changes in brain function that persist long after an individual stops using drugs. It is most important to realize that the same is true of not just illegal substances but alcohol and tobacco as well.

Did you know?

The most common treatment options for addiction include psychotherapy, support groups, and individual counseling.

Did you know?

Never take aspirin without food because it is likely to irritate your stomach. Never give aspirin to children under age 12. Overdoses of aspirin have the potential to cause deafness.

Did you know?

In 1864, the first barbiturate (barbituric acid) was synthesized.

For a complete list of videos, visit our video library