Question

What will the equation be if the following equation is translated 6 units left and 3 units up?

Equation: f(x)=x^2

Answer 1

`\Huge \boxed{ \boxed{\bf{f(x) = (x+6)^2 + 3}}}`

Explanation:

We can change a function's equation to translate it on the coordinate plane. When a function, such as
`\tt{f(x) = x^2}`, moves 6 units to the left,
`\tt{x}` in the equation is changed to
`\tt{(x+6)}`.

Similar to that, raising a function by 3 units is the same as increasing the first equation by 3. Therefore,
`\tt{f(x) = x^2}` becomes
`\tt{f(x) = (x+6)^2 + 3}` when these conditions are given to your equation.

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