anonymous
  • anonymous
The graph of f(x) = x^2 is shown below. Determine the coordinates of point A after the transformation to g(x) = x^2 + 1.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
point A is 3,9
UnkleRhaukus
  • UnkleRhaukus
|dw:1371562373651:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1371562430077:dw|

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More answers

anonymous
  • anonymous
right so do you just plug it in??
UnkleRhaukus
  • UnkleRhaukus
|dw:1371562519203:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1371562579861:dw|
anonymous
  • anonymous
so do i plug 3 into x
UnkleRhaukus
  • UnkleRhaukus
can you sketch g(x)=x^2+1 onto the above graph?
anonymous
  • anonymous
no
UnkleRhaukus
  • UnkleRhaukus
i guess you could just plug x=3 into g(x) and find the single point
anonymous
  • anonymous
10
UnkleRhaukus
  • UnkleRhaukus
x y=x^2 -3 (-3)^2=9 -2 (-2)^2=4 -1 (-1)^2=1 0 (0)^2 =0 1 1^2 =1 2 2^2 =4 3 3^2 =9 x y=x^2+1 -3 (-3)^2+1= -2 (-2)^2+1= -1 (-1)^2+1= 0 (0)^2 +1= 1 1^2 +1= 2 2^2 +1= 3 3^2 +1=10 \(\checkmark\)
UnkleRhaukus
  • UnkleRhaukus
|dw:1371562912997:dw|
UnkleRhaukus
  • UnkleRhaukus
g(x)*
anonymous
  • anonymous
g(x)= 10
UnkleRhaukus
  • UnkleRhaukus
if you fill in the rest fo the table for g(x) (its quite easy) and then plot the points x g(x)=x^2+1 -3 (-3)^2+1=10 -2 (-2)^2+1= -1 (-1)^2+1= 0 (0)^2 +1= 1 1^2 +1= 2 2^2 +1= 3 3^2 +1=10
UnkleRhaukus
  • UnkleRhaukus
|dw:1371563044724:dw|
anonymous
  • anonymous
these are my choices though (3, 8) (4, 9) (-3, 9) (3, 10)
UnkleRhaukus
  • UnkleRhaukus
x g(x)=x^2+1 -2 (-2)^2+1=4+1=5 |dw:1371563144525:dw|
UnkleRhaukus
  • UnkleRhaukus
you already found g(3)=3^2+1=9+1=10
anonymous
  • anonymous
yes
UnkleRhaukus
  • UnkleRhaukus
|dw:1371563227544:dw|
UnkleRhaukus
  • UnkleRhaukus
the only difference between y(x) and g(x) is that the +1 makes the parabola shift up one unit on the graph
anonymous
  • anonymous
ok because this confuses me
UnkleRhaukus
  • UnkleRhaukus
|dw:1371563384557:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1371563420928:dw|
UnkleRhaukus
  • UnkleRhaukus
Which bit is the confusing bit ?
anonymous
  • anonymous
im confused about once you plug x in and you get you points is that the final answer
anonymous
  • anonymous
this is so stupid
UnkleRhaukus
  • UnkleRhaukus
y(x)=x^2 is a equation of a line y(3)=9 is a point (3,9) on the line that is a solution to the equation g(x)=y(x)+1=x^2+1 is the transformation of y(x) the answer you are looking for is the the point that is a solution to g(x) when x=3 you found g(3)=3^2+1=10 the point is ( , )
anonymous
  • anonymous
3,10
UnkleRhaukus
  • UnkleRhaukus
yes

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