f(x) + n - shift a graph of f n units up
f(x) - n - shift a graph of f n units down
f(x + n) - shift a graph of f n units left
f(x - n) - shift a graph of f n units right.
f(x) = x³, g(x) = (x + 3)³ - 4 = f(x + 3) - 4
3 units left and 4 units down.
(x, y) → (x - 3, y - 4)
therefore
(0, 0) → (0 - 3, 0 - 4) = (-3, -4).
<h3>Answer: (-3, -4).</h3>
Answer:
<em>Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.</em>
Step-by-step explanation:
<u>System of Equations</u>
Consider the following system of equations
2x + 3y = 8 [1]
3x + y = -2 [2]
And the point (1,2). Substituting in both equations:
For equation [1]:
2*1 + 3*2 = 8
2 + 6 = 8
8 = 8
Since the equation is true, point (1,2) satisfies the equation 2x + 3y = 8
Now for equation [2]:
3*1 + 2 = -2
3 + 2 = -2
5 = -2
Since this equation is false, point (1,2) does not satisfy the equation 3x + y = -2
Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
Answer:
y=3x-16
Step-by-step explanation:
Answer: Origin, 8,0, 8,3,and 0,3
Step-by-step explanation:
Firstly, it tells us that we need to rotate it around the origin, so no matter what, the origin will always be one of our coordinate. After that -10 and -2 has an 8 difference, so if it is 180 degrees, the co-ordinate must be 8 since the origin and 8 is also a difference of eight.
Secondly, now when we need to find out the height, we know that 5 and 2, which are the heights of D and C, the difference is 3. So x-0=3, well, we already know that x is 3 because 3+0=x. That means DC on the other side is 0,3 since we always read the x axis first and then the y. And there you go! You now know the 4 co-ordinates! They are 0,0 , 8,0 , 8,3 and 0,3
Hope this helps :>
