Hey there!
1. The graph was flipped vertically and now opens downward.
We know this because there is a negative sign in front of the equation:
2. The graph was moved 3 units to the left.
We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.
3. The graph was moved 5 units up.
We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.

Hope this helps!
Answer:
Step-by-step explanation:
<u>Perimeter is:</u>
- P = a + b + c
- P = 4x - 3 + x + 9 + 8 = 5x + 14
<u>Area is:</u>
- A = 1/2bh
- A = 1/2*8*3x = 12x
Correct choice is A
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
Putting all the values of y=9, 6, 0, and -3 to complete the table
FOR y=9
putting y=9
switch sides
subtract 3 from both sides
Hence,
when y=9, x=4
FOR y=6
putting y=6
switch sides
subtract 3 from both sides
Hence,
when y=6, x=2
FOR y=0
putting y=0
switch sides
subtract 3 from both sides
Hence,
when y=0, x=-2
FOR y=-3
putting y=-3
switch sides
subtract 3 from both sides
Hence,
when y=-3, x=-4
Hence, the table becomes:
x y
9 4
6 2
0 -2
-3 -4
Answer:
-2
Step-by-step explanation:
First, solve so that y is alone on its side of the equation by dividing both sides of the equation by 12.
12y=(-24)x
y=(-2)x
Therefore, the slope must be -2.
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
* and
and
so
** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form