Write the quadratic function in the form f(x)=a(x-h)^2+k. Then, give the vertex of its graph. Finally, graph the function by plotting the vertex and four additional points, two on each side of the vertex. f(x)=-2x^2+16x-35

Vertex = (4, -3)

Graph in the image attached, additional points:

(2, -11), (3, -5), (5, -5), (6, -11)

Step-by-step explanation:

The vertex of f(x) can be found using the formula:

to find y_vertex, we use x_vertex in f(x):

So the vertex is (4, -3)

To write the function in the form , we just need to calculate h = -b/2a and then find k:

Comparing both forms of f(x), we have:

So we have:

Now let's find the four additional points.

Two points to the left: x = 3 and x = 2

Two points to the right: x = 5 and x = 6

i am unable to solve this problem

step-by-step explanation: