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mihalych1998 [28]
3 years ago
10

The graphs below have the same shape. Complete the equation of the blue

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0

Answer:

(x+2)^2+1

Step-by-step explanation:

G is shifted 2 to the left and one up. 2 to the left is represented by changing the input by adding 2 to it (as the original is 2 more than the edited), and adding 1 to the end of it adds 1, so our answer is (x+2)^2+1

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<em>Answer</em><em> </em><em>is</em><em> </em><em>option</em><em> </em><em>d</em><em> </em>

Step-by-step explanation:

given \: expression \: is \:  {(x - 3)}^{2}  = 5 \\  {x}^{2}  - 6x + 9 = 5 \\ subtracting \: 5 \: on \: both \: sides \: we \: get \\  {x}^{2}  - 6x + 4 = 0 \\ on \: solving \: the \: quadratic \: equation \: by \\  \: completing \: square \: method \\  {x}^{2}  - 6x =  - 4 \\ adding \:  {3}^{2} on \: both \: sides \: w e\: get \\  {x}^{2}  - 6x +  {3}^{2}  =  {3}^{2}  - 4 \\  {(x - 3)}^{2} = 5 \\ x - 3 + =    \sqrt{5}  \\ x =  \sqrt{5 }  + 3

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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