Question

Find g(x), where g(x) is the translation 7 units up of f(x)=x2.

Answer 1

Answer:

x(squared) + 7

Step-by-step explanation:

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Answer 2

Answer:

$g(x)=x^2+7$

$g(x)$ in the form $a(x-h)^2+k$ would be:

$g(x)=(x-0)^2+7$

Step-by-step explanation:

Given:

Parent function:

$f(x)=x^2$

Translation occurs 7 units up to get $g(x)$

Translation Rules:

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

So, from the above rules $g(x)$ can be represented as:

$g(x)=f(x)+7$     [7 units up]

$g(x)=x^2+7$

Writing $g(x)$ in the form $a(x-h)^2+k$ where $a, h, and\ k$ are integers.

$g(x)=1(x-0)^2+7$

$g(x)=(x-0)^2+7$