IMAGE OF QUESTION
ANSWER
Step-by-step explanation
We have that the function graphed g(x) is a transformation of:
When the parent quadratic function f(x) is transformed, it takes the following form:
This form also represents the vertex form of a quadratic equation, where (h, k) is the vertex of the function.
This means that we can find the function by using the vertex of the function.
The vertex of a function is the maximum or minimum value of the function; from the given graph, it is a maximum value and it is located at:
Therefore, we can input this into the vertex form of the function:
Now, we have to find the value of a. To do this, pick any coordinate point from the graph and input it into the function above.
Let us pick:
Therefore, we have:
Therefore, the function graphed above is: