Question

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of the function for f(x)=(x-9)^2-29

Answer 1

Identify the​ vertex, the axis of​ symmetry, the maximum or minimum​ value, and the domain and range of the function for f(x)=(x-9)^2-29​

we have

f(x)=(x-9)^2-29​

This is a vertical parabola, open upward

The vertex represent a minimum

The vertex of the parabola is the point (9,-29)

The domain is all real numbers

The range is the interval {-29, infinite)

`y\ge-29`

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

In this problem

axis of symmetry is x=9