9514 1404 393
Answer:
-4
Step-by-step explanation:
In a linear equation, the terms "unit rate", "rate of change", "constant of proportionality", and "slope" all refer to the coefficient of x (the independent variable).
Here, the coefficient of x is -4.
The slope is -4.
_____
<em>Additional comment</em>
Strictly speaking the "constant of proportionality" only refers to the x-coefficient (k) when the equation is of the form ...
y = kx . . . . . with no added constant
"Slope", "unit rate", and so on, can also refer to the x-coefficient (m) when the equation has a non-zero y-intercept (b):
y = mx + b
Answer:
c = 16
Explanation:
Do it on a calculator it'll be correct
Answer:
4 units
Step-by-step explanation:
1.8 divided by .08 is 22.5
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.
