Question

I WILL MEDAL AND FAN
For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range.

The vertex is (–2, 4), the domain is all real numbers, and the range is y ≥ 4.
The vertex is (–2, 4), the domain is all real numbers, and the range is y ≤ 4.
The vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4.
The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

Answer 1

@563blackghost @Awolflover1 @BlazeRyder

Answer 2

I'm here. Give me a min.

Answer 3

Is it supposed to look like: \[f(x)=(x-2)^{2}+4\]

Answer 4

yes

Answer 5

thats correct @BlazeRyder

Answer 6

First 2 are out. The vertex is 2,4. Also they are all real numbers. Now just the range......

Answer 7

It would be the last one.

"
The range can be determined by considering whether the graph is concave up or down.
Concave up (when the coefficient of x^2 is positive, implies the graph has a minimum value. Thus the rest of the graph is above this minimum value so the range is given by
y≥ymin

Concave down exact opposite. Coefficient of x^2 is negative, implies the graph has a maximum value. Thus the rest of graph is below this maximum so the range is given by
y≤ymax" ( http://openstudy.com/updates/57865a2de4b0cb0e1f353677)

Answer 8

Sorry it took me a min. I have not done this stuff for a while so I had to remember! =)

Answer 9

thank you so much <3 @BlazeRyder

Answer 10

No problem! Glad I could help! =)