arshan
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Given f(x) = (x - 4)^2 - 1, what is the change made to g(x) if the parent function is f(x) = x^2?

g(x) = x^2 + 3, what is the change made to g(x) if the parent function is f(x) = x^2?

Given the parent function f(x) = x&2, describe the translation of the function
f(x)=(1/4)((x-6)^2)+8

Given a = -1, h = 3, and k = 2, how will the graph g(x) change if the parent function is f(x) = x^2?

Respuesta :

konrad509
1.
[tex]g(x)=(x-4)^2-1[/tex]

[tex]f(x)[/tex] was moved 4 units right and 1 unit down

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

[tex]f(x)[/tex] was moved 3 units up

3.
[tex]f(x)=x^2\\ g(x)=\dfrac{1}{4}(x-6)^2+8[/tex]

[tex]f(x)[/tex] was moved 6 units right, scaled down along the y-axis 4 times and moved 8 unit up

4.
[tex]f(x)=x^2\\ g(x)=-(x-3)^2+2[/tex]

[tex]f(x)[/tex] is moved 3 units right, reflected over the x-axis and moved 2 units up
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