Solve for a f(x)=ax^2

$f (x) = a x^{2}$

Step 1

Rewrite the equation as $a x^{2} = f (x)$ .

$a x^{2} = f (x)$

Step 2

Divide each term in $a x^{2} = f (x)$ by $x^{2}$ and simplify.

Divide each term in $a x^{2} = f (x)$ by $x^{2}$ .

$\frac{a x^{2}}{x^{2}} = \frac{f (x)}{x^{2}}$

Simplify the left side.

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$\frac{a x^{2}}{x^{2}} = \frac{f (x)}{x^{2}}$

Divide $a$ by $1$ .

$a = \frac{f (x)}{x^{2}}$