Answer:
Step-by-step explanation:
Lets write an equation for this :)
So, the sum of -3 times a number and 0.3
This would be : -3x +0.3
Is at most, 6.3
so, it is equal to, or less than 6.3
-3x +0.3 <u><</u> 6.3
Now lets solve!
x<u>> </u>-2
the number is greater than or equal to -2
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.
