Question

The graph of FX), shown below, has the same shape as the graph ofG(X) = x2, but it is shifted to the left 3 units. What is its equation?FX) ----A. F(x) = x² + 3B. FX) = (x - 3)2C. FX) = x2.3D. Rx) = (x + 3)?

Answer 1

We can represent the horizontal shift of a quadratic equation by adding or subtracting the constant h to the function

`\begin{gathered} f(x)=a(x-h)^2+k \\ \text{where} \\ h\text{ is the horizontal shift} \end{gathered}`