Okay and how do you know whats the maximum or minimum of this equation, without having a graph
I will later show you a graph where the axis of the symmetry, Vertex, and the minimum value are located
Okay, so this equation has a minimum value because the function open upwards. In this case The minimum value is 2 because the vertex is (3,2) and 2 is the lowest point that Y can get.
Slide: 2
ohhh, okay now I understand it.
Okay, imagine we are in the sky, and I am going to explain the graph
So the green line is the axis of symmetry and the red dot is the minimum value and vertex
Slide: 3
f(x)=∣x−3∣+2Vertex: (3,2)
|x-h| + k
Thank you for all the information , but I wanted to know one more thing, what is the domain and range in this equation
We are almost done and it's nearly time for the test, so basically the Domain and range in this equation are Domain= ARN and Range= Y is greater than or equal to 2
The domain is ARN because it goes from negative infinite to positive infinite, and The range is Y greater than or equal to 2 because since the vertex is (3,2), the least value the absolute value function can get is 2