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Find g(x), where g(x) is the translation 7 units right of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers.

Sagot :

MrRoyal

Answer:

[tex]g(x) =1(x + 7)^2 + 0[/tex]

Step-by-step explanation:

Given

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

Required

Determine g(x) where g(x) is a translation of f(x), 7 units to the right

When a point is translated to the right, the resulting point is:

[tex]x -> x + b[/tex]

Where b is the number of units to the right.

In this case:

[tex]b = 7[/tex]

So, we have:

[tex]g(x) = f(x +7)[/tex]

Solving f(x+7)

Substitute x + 7 for x in [tex]f(x) = x^2[/tex]

[tex]f(x + 7) = (x+7)^2[/tex]

So, we have:

[tex]g(x) = (x+7)^2[/tex]

To write in the form of [tex]a(x - h)^2 + k[/tex], we have:

[tex]g(x) =1(x + 7)^2 + 0[/tex]

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