the graph below is a translated reflection of the graph of the parent function. Write the quadratic function to model the graph.

Step-by-step explanation:

Use the vertex formula:  y = a(x - h)² + k    where

We can see that the vertex of the curve is (-3, 4)  -->  h = -3, k = 4

and it is a reflection over the x-axis --> a-value is negative

We need to find the a-value. Choose another point on the curve and plug it into the vertex formula for (x, y) and then solve for a.

I will choose (x, y) = (-3/2, 0)

Now that we know the vertex and the a-value, we can input them into the vertex formula: