Graph this equation Y = IxI – 3 ...?
2 answers:
This will be your typical absolute value graph (it looks like a "v"), just moved three units downwards. the vertex will be at (0, -3). the x-intercepts will be at (-3, 0) and (3, 0). i attached an image in case you can't visualize it!!
but, to graph it by hand: find your x-intercepts by plugging in a 0 for y.
0 = |x| - 3
add 3 to both sides
|x| = 3
then because it's absolute value you set it to both pos and neg three:
x = 3
and
x = -3
those are your x-intercepts and because it's just a downward shift, it's a pretty standard graph. you don't really need to plug in points, but you can always do an input/output table if ya feel so inclined
but, to graph it by hand: find your x-intercepts by plugging in a 0 for y.
0 = |x| - 3
add 3 to both sides
|x| = 3
then because it's absolute value you set it to both pos and neg three:
x = 3
and
x = -3
those are your x-intercepts and because it's just a downward shift, it's a pretty standard graph. you don't really need to plug in points, but you can always do an input/output table if ya feel so inclined
You might be interested in
Option C
When is subtracted from
then the result is
Given that is subtracted from
We have to find the result
Subtraction is a mathematical operation that tells us the difference between two numbers.
When "a" is subtracted from "b", we write in mathematical expression as "b - a"
So is subtracted from
is written mathematically as:
<em><u>Expanding the above expression using algebraic identity:</u></em>
Multiplying the nnegative sign with terms inside bracket
<em><u>There are two simple rules to remember: </u></em>
- When you multiply a negative number by a positive number then the product is always negative.
- When you multiply two negative numbers or two positive numbers then the product is always positive.
Hence the result is:
The formula for the volume of a cylinder is 
We know the diameter, so we can easily find the radius. The diameter is twice as long as the radius, so we divide the diameter by 2 to find the radius. This is equal to 6/2 = 3. Now, we plug our numbers into the formula.
This could also be written:
Both 27 pi cubic meters and 84.82 cubic meters are correct answers, so choose whichever one you think your teacher would prefer.
We know the diameter, so we can easily find the radius. The diameter is twice as long as the radius, so we divide the diameter by 2 to find the radius. This is equal to 6/2 = 3. Now, we plug our numbers into the formula.
This could also be written:
Both 27 pi cubic meters and 84.82 cubic meters are correct answers, so choose whichever one you think your teacher would prefer.