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astra-53 [7]
3 years ago
14

Which equation is y = –3x2 – 12x – 2 rewritten in vertex form? y = –3(x + 2)2 + 10 y = –3(x – 2)2 + 10 y = –3(x + 2)2 – 14 y = –

3(x – 2)2 – 2
Mathematics
2 answers:
Naya [18.7K]3 years ago
4 0

we have

y =-3x^{2}-12x- 2

<u>Rewrite as perfect squares</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y+2 = -3x^{2} - 12x

Factor the leading coefficient

y+2 = -3(x^{2} +4x)

Complete the square. Remember to balance the equation by adding the same constants to each side

y+2-12 = -3(x^{2} +4x+4)

y-10 = -3(x^{2} +4x+4)

y-10 = -3(x+2)^{2}

y=-3(x+2)^{2}+10

therefore

<u>the answer is the option</u>

y=-3(x+2)^{2}+10

murzikaleks [220]3 years ago
3 0
Y=-3(x+2)²+10 is the answer
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What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)
DiKsa [7]
The correct answer is:  [C]:  " (0, 24) " .
___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function:
___________________________________________________________

          →  "  y = (x <span>− 8) (x + 3) "  ;   </span>←  Note:  Replace the "f(x)" with: "y" ; 

→  Find the "y-intercept".
___________________________________________________________

→  Note:  The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" . 

   → So;  we set plug in "0" for "x" into our equation; and solve for "y" ; 

          → " y = (x − 8) (x + 3) " ;

          →   y = (0 − 8) (0 + 3)  ; 

          →   y = (-8) * (3)  ;  
 
          →   y = - 24 ; 
___________________________________________________________

So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
 
the point at which:  "x = 0 ; y = -24 " ;

      →  that is; the point  the coordinates:  " (0, - 24) " ;
___________________________________________________________
  →  which is:  Answer choice:  [C]:  " (0, - 24) " .
___________________________________________________________
9 0
2 years ago
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Step-by-step explanation:

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7 0
3 years ago
2×<br><img src="https://tex.z-dn.net/?f=%20%7B2x%7D%5E%7B2%7D%20%20%3D%208x%20%2B%203" id="TexFormula1" title=" {2x}^{2} = 8x +
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theres a few calculaters that can do that


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For a you have to solve 2 solutions , first 2x=12
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