Graph Sketching - Completing the Square

Express  $y=x^2+8x+11$  in the form $y=\left(x+a\right)^2+b$  

•  $y=\left(x+8\right)^2+11$  

•  $y=\left(x+4\right)^2+27$  

•  $y=\left(x+4\right)^2-5$  

•  $y=\left(x+8\right)^2-53$  

Type the coordinates of the turning point of $y=\left(x+4\right)^2-5$  

 in the form (x, y)

Type the value of the y-intercept of $y=\left(x+4\right)^2-5$  

Which of the following are the x-intercepts of $y=\left(x+4\right)^2-5$  ?

•  $x=6.24\ or\ 1.76$  

•  $x=4\ or\ 5$  

•  $x=-1.76\ or\ -6.24$  

•  $x=-4\ or\ -5$  

Which of the following shows the correct graph for $y=\left(x+4\right)^2-5$  ?

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