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Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = x2 - 14

Shift the graph of y = x2 right 14 units.
Shift the graph of y = x2 up 14 units.
Shift the graph of y = x2 left 14 units.
Shift the graph of y = x2 down 14 units.

Respuesta :

It goes down 14 units. x^2-k

y=x^2-k is down

y=x^2+k is up

y=(x-k)^2 is right

y=(x+k)^2 is left

Answer:

 Option D Shift the graph of [tex]y=x^2[/tex] down 14 units.


Step-by-step explanation:

Given : Graph 1- [tex]y=x^2[/tex]


            Graph 2- [tex]y=x^2-14[/tex]


To show: Transformation of graph 1 to graph 2  


We can see the graph 1 is parabola with vertex (0,0)


and graph 2 is parabola with vertex (0,-14)


since the plotted graph show the graph 2 shifted downwards with 14 units then graph 1  


Ver imagen DodieZollner
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