Question

For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range. (2 points)

Answer 1

Answer:

okay

vertex:(2,4)

domain: (-∞,∞)

range: [4,∞)

Step-by-step explanation:

to find the vertex from the equation

f(x) = (x − 2)² + 4

an easy way is to use the numbers given. so the vertex of this equation is x= 2 (because it is always the opposite of itself in the equation) and y= 4 because the point is going up 4.

to find domain is easy. domain is on the x-axis so the equation is a parabola so it has to points at the same direction. therefore it has a domain that goes from negative infinity to positive infinity.

lastly to find range, which is on the y-axis is to find from where the parabola starts and is pointing, either up or down. in this equation the vertex, which is also the starting point starts at 4 and continues to go on- to infinity.

ps i hope this helps.