SOLUTION: Consider the quadratic equation y=-10 x^2 - 60 x + 8. Complete the square to express the quadratic in standard form y=a (x-h)^2 +k. a= h= k =

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Question 1180267: Consider the quadratic equation y=-10 x^2 - 60 x + 8.
Complete the square to express the quadratic in standard form y=a (x-h)^2 +k.
a=
h=
k =
Found 4 solutions by josgarithmetic, MathTherapy, ikleyn, greenestamps:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!


Add and subtract , inside the parentheses.








Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Consider the quadratic equation y=-10 x^2 - 60 x + 8.
Complete the square to express the quadratic in standard form y=a (x-h)^2 +k.
a=
h=
k = 
His answer is WRONG, so: 

Furthermore, the more a person can STEER CLEAR of fractions, the better off he/she may be.



 -------- Factoring out - 10 on x2 and x to make coefficient on x2, + 1

 ----- Taking ½ of b ON x, squaring the result, then adding to/subtracting from right-side

 --- ADDING and SUBTRACTING, - 10(½ * + 6)2



Correct answer:  

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
 .





What you call  "the quadratic equation",  in  Mathematics  is called  "a quadratic function".







It is not a quadratic equation,  and only totally illiterate in Math  "composer"/person can call it  "quadratic equation".







For such a composer,  it is the same as to write in his forehead by capital letters






        I am mathematically illiterate








 

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!
 





Factor the leading coefficient out of the x^2 and x terms:





Complete the square of the expression in parentheses by adding (6/2)^2=9.  In doing that, you have added -10(9)=-90 to the expression, so you have to add +90 outside the parentheses to keep the expression unchanged.





Write the expression in parentheses as the square of a binomial:





ANSWERS:

A = -10

h = 3

k = 98


 

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