Question

What is f(x)=x^2 transformed 3 units to the left

Answer 1

Equation:

f(x) = (x + 3)^2

Graph: see image

Explanation:

Translation just means shift or slide. To show a LEFT shift in the equation, go in close to the x, inside the parenthesis with the x, for LEFT shift, insert +3.

Left and right shifts might be the opposite of what you may think. Minus a number shifts right and plus a number shifts left.

For the graph, see image. The answer is the green curve.