Question

ch Identify the vertex and axis of symmetry of each. Then sketch the graph. 15) f(x) = -3(x - 21²-4 16) f (x) = -x - 4

Answer 1

The given function is

`f(x)=-(1)/(4)(x+1)^2+4`

Given that the function is in standard form f(x) = a(x-h)2 + k, we can deduct that the vertex is V(-1, 4), where h = -1 and k = 4.

Remember that the standard form already shows the vertex, so we don't have to calculate it, just observe it in the standard form function.

The axis of symmetry would be x = -1.

The graph is shown below.