Since in this problem, we are dealing with a balloon we can now say that the container or the shape we are dealing with is a sphere. The volume of a sphere is
hence the volume is directly proportional to the radius. The volume increase by a factor of
Refrection across the y-axis changes the function to y = |-x|.
Vertical stretch by a factor of 1.5 changes the graph to y = 1.5|-x|
Shifting the graph by 4 units downward changes the graph to y = 1.5|-x| - 4
Required equation is y = 1.5|-x| - 4
16a^4b^4 + 32a^3b^5 - 48a^2b^6
the GCF would be : 16a^2b^4....because the 16 is the highest coefficient that goes into 16,32,and 48. Then u just take the a with the smallest exponent and the b with the smallest exponent.
The given point is (-4, -6)
First reflected point is (-4, 6).
Note that the x coordinate is same and y coordinate has opposite sign. Above x-axis, y is positive and below x-axis y is negative. This shows that the reflection was across x-axis which resulted in the change of sign of y coordinate.
Second reflected point is (-6, -4)
Notice that in comparison to the original point, the location of x and y coordinate has been interchanged. This can only happen when the reflection is across the line y = x. The reflection of a graph across y = x also results in the inverse of that graph, with x values and y values interchanging their positions.
So,
1st Answer: Reflection across x-axis
2nd Answer: Reflection across the line y = x
