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A family of functions is given. Graph all the given members of the families in the viewing rectangles indicated.
f(x) = (x − c)^2.
(a) c = 0, 1, 2, 3; [−5, 5] by [−10, 10]
(b) c = 0, −1, −2, −3; [−5, 5] by [−10, 10]

Respuesta :

The family of functions for both the parts is shown.

[tex]f(x)=(x-c)^2[/tex]

a) for [tex]c = 0[/tex]

[tex]f(x)=x^2[/tex]

for [tex]c = 1[/tex]

[tex]f(x)=(x-1)^2[/tex]

for [tex]c = 2[/tex]

[tex]f(x)=(x-2)^2[/tex]

for [tex]c = 3[/tex]

[tex]f(x)=(x-3)^2[/tex]

The family of functions is shown.

b) for [tex]c = 0[/tex]

[tex]f(x)=x^2[/tex]

for [tex]c = -1[/tex]

[tex]f(x)=(x+1)^2[/tex]

for [tex]c = -2[/tex]

[tex]f(x)=(x+2)^2[/tex]

for [tex]c = -3[/tex]

[tex]f(x)=(x+3)^2[/tex]

The family of functions is shown.

Learn more about family of functions here:

https://brainly.com/question/1597217?referrer=searchResults

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