Question

Write a quadratic function to model the graph down below.

Answer 1

SOLUTION

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