Question

Write a quadratic function to model the graph down below.

Answer 1

The original model for quadratic function is

`y=x^2`

From the image given, it is observe that the graph has under the following transformation

`\begin{gathered} It\text{ is shifted up by 1 unit } \\ which\text{ is +1 to the }the\text{ main function .} \end{gathered}`
`y=x^2+1`

And

`\begin{gathered} \text{Shifted to the left by 1 unit } \\ +1\text{ to x} \end{gathered}`
`y=(x+1)^2+1`

Hence the quadractic function that model th graph is

`y=(x+1)^2+1`

The quadratic function that model the graph is y=(x+1)²+1