Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
Answer:
b(-10) = 6
Step-by-step explanation:
B(x)= |x+4|
Let x = -10
B(-10)= |-10+4|
|-6|
Take the positive value
6
Answer:
Minimize C =
and x ≥ 0, y ≥ 0.
Plot the the lines on the graph and find the feasible region
-- Blue
--- Green
So, the boundary points of feasible region are (-3.267,4.3) , (0,1.85) and (2.467,0)
Substitute the value in Minimize C
Minimize C =
At (-3.267,4.3)
Minimize C =
Minimize C =
At (0,1.85)
Minimize C =
Minimize C =
At (2.467,0)
Minimize C =
Minimize C =
So, the optimal value of x is -3.267
So, the optimal value of y is 4.3
So, the minimum value of the objective function is -29.571
Answer:
B. Symmetry
Step-by-step explanation:
They are symmetrical, meaning they are mirrored or both look the same.
Hope this helps! :)