The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of
1 answer:
Answer:
x = -1
Step-by-step explanation:
The axis of symmetry of the graph is x=3 but,
If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:
-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is
(-1 , -2) I attached an image so you can visualize clearly
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Answer with Step-by-step explanation:
We are given that
Let g(x,y)=
We have to find the extreme values of the given function
Using Lagrange multipliers
Possible value x=0 or
If x=0 then substitute the value in g(x,y)
Then, we get
If and substitute in the equation
Then , we get possible value of y=0
When y=0 substitute in g(x,y) then we get
Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).
Therefore, the maximum value of f on the circle is
and minimum value of