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assignment 3.5 transformation of functions
due tuesday by 11:59pm points 16 submitting an external tool
assignment 3.5 transformation of functions
score: 0/16 answered: 0/16
question 1
let $f(x)=x^{2}$
if $g(x)$ is the graph of $f(x)$ shifted down 1 units, write a formula for $g(x)$
g(x)=
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Explanation:

Step1: Recall vertical - shift rule

For a function $y = f(x)$, shifting it down $k$ units gives $y=f(x)-k$.

Step2: Identify values

Here $f(x)=x^{2}$ and $k = 1$.

Step3: Write the new function

Substitute into the rule: $g(x)=x^{2}-1$.

Answer:

$x^{2}-1$