Answer:
Step-by-step explanation:
How does y change as x increases over a range?
As x increases from -6 to -4, y decreases from 0 to -7
It is a decreasing function in this range and for ranges less than x = -6 as well as the slope is nearly constant
As x increases from -4 to 0, y increases from -7 to 4
It is an increasing function in this range.
For x increasing from zero, y becomes less and less
It is a decreasing function in the range larger than x = 0
Answer:
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1 . Below is the explanation
Step-by-step explanation:
Given:
The graph of f(x)=x^{2}x
2
To find:
The equation of the transformed graph g(x).
The red graph f(x) is moved right 3 units and up 1 unit to get g(x).
When graph is moved right 3 units , 3 should be subtracted with x.
When graph is moved up 1 unit, 1 is added at the end.
So, our g(x)=(x-3)^{2} +1(x−3)
2
+1
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1
Answer:
g(0) = -2
Step-by-step explanation:
Given - g(x) = -x - 2
To find - g(0)
Proof -
We have given the function ,
g(x) = -x - 2
For finding the value of g(0), we just have to put x = 0 in g(x),
We get
g(0) = -0 - 2 = -2
⇒g(0) = -2