Write a quadratic function to model the graph down below.

Question

asked Apr 8, 2023 137k views

1 Answer

Mahdi Mehrabi · Answer 1 · 2023-04-12T10:52:37+0000

SOLUTION

The original model for quadratic function is

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

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