Question

question\
the graph of $f(x) = 2x^2$ is given below. write the equation of a function $g(x)$ which would shift the graph of $f(x)$ left 6 units.

Explanation:

Step1: Recall horizontal shift rule

For a left shift by $h$ units, replace $x$ with $x+h$ in $f(x)$.

Step2: Apply shift to $f(x)$

Here, $h=6$, so substitute $x \to x+6$ into $f(x)=2x^2$.
<Expression>
$g(x)=2(x+6)^2$
</Expression>

Answer:

$g(x)=2(x+6)^2$