Answer:
f(x) = -2(x - 3)² - 1
Step-by-step explanation:
Every parabola is symmetric about its axis, which means that if it were folded along its axis, the two parts would match. Given x = 3 as the axis of symmetry, then it means that its vertex must have an h value of 3.
Using the vertex form of the quadratic function:
f(x) = a(x - h)²+ k
where:
a determines whether the graph opens up or down.
- If a is positive, the graph opens up.
- If a is negative, the graph opens down.
(h, k) is the vertex
Then, we can establish the following quadratic function using the vertex form:
f(x) = -2(x - 3)² - 1
The vertex of this quadratic function is (3, -1).
Attached is a screenshot of the given function.
Hope this helps :)
