Question

Let f(x)=-3(x - 4)^2 + 8

What is the vertex of the above graph?
a) (4, 8)
b) (-4, 8)
c) (-4, -8)
d) (4, -8)

Answer 1

The vertex of the graph of the quadratic equation f(x) = -3(x - 4)² + 8 is (4, 8). So, correct answer is option a) (4, 8).

Step-by-step explanation:

The given quadratic equation is f(x) = -3(x - 4)² + 8.

To find the vertex of the graph, we need to convert the equation to vertex form, which is f(x) = a(x - h)² + k, where (h, k) is the vertex.

The vertex form of the given equation is f(x) = -3(x - 4)² + 8.

Comparing this with the vertex form, we can see that the vertex is (4, 8).

Therefore, the correct answer is option a) (4, 8).