Question

The vertex Is? This is not the full question but the next part will be revealed when the previous part is answered correctly so there are 7 parts to this question

Answer 1

we have the function

`f(x)=(x+2)^2-2`

this is a quadratic equation (vertical parabola) written in vertex form, open upward (because the leading coefficient is positive)

The vertex is a minimum

Part a

The vertex is the point (-2,-2)

Part b

The equation of the axis of symmetry is

x=-2

Part c

The domain is the interval (-infinite, infinite) -----> All real numbers

Part d

The range is the interval [-2, infinite)

All real numbers greater than or equal to -2

Part e

The function is increasing at the interval (-2, infinite)

Part f

The function is decreasing at the interval (-infinite, -2)