That would be Graph C
The solution is where the 2 graphs intersect At A and B.
x + y + 2 = 0 transforms to y = -x - 2 which has slope -1 and y-intercept of -2
as in Graph C.
Answer:
part 1 is 0.5 and the second part is options 2 and 4
Step-by-step explanation:
Answer:
Option 2 is correct that is (-1,4)
Step-by-step explanation:
We will use the section formula to find the coordinates of T
Formula is 
Here, 
On substituting the values in the formula we get
Therefore, option 2 is correct that is (-1,4)
Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
- If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)
- If f(x) translated vertically k units, then its image h(x) = f(x) + k
Let us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
- a translation of 5 units up
- a vertical stretch with a scale factor of 2
<span>Since they are playing in the space, gravity or the lack of it plays a huge role here. When the first astronaut throws the second astronaut toward the third one and due to the force exerted they would be moving in the opposite direction and there won't be any catch. Hence the game does not continue after the first throw.</span>
