Answer:






Step-by-step explanation:
Now let us see the detailed solution of each part:
Part 1:

Part 2:

Part 3:

Part 4:

Part 5:

Part 6:

Please refer to attached image for the answers.
Answer:
y = x + 1
Step-by-step explanation:
This is in slope intercept form. 1 is the point that you start at: (0, 1)
The slope is 1
y = 1x + 1 or
y = x + 1
Answer:
This is an geometric sequence with a common ratio <em>r</em> of 1/2
Step-by-step explanation:
When you find out <em>r</em>, you realize the ratio between the numbers to be dividing by 2, or 1/2. Since it is <em>r</em> and not common difference <em>d</em>, it is an geometric sequence.
I can't say for sure this answer is 100% correct because I think more info is needed.
If your teacher is looking for the turning point, then that would be (4,10)
The equation y = a(x-h)^3 + k has a turning point at (h,k). The parent function y = x^3 gets shifted h units to the right (assuming h is positive) and k units up (if k is positive). In this case, (h,k) = (4,10) so we have y = a(x-4)^3 + 10. The original turning point (0,0) has been shifted to the new turning point (4,10) which is 4 units to the right and 10 units up. The value of 'a' does not effect the turning point.
If x was say the time in minutes and y was the temperature, then the turning point of y = -3(x-4)^3 + 10 could mean that at time 4 minutes (x = 4) the substance turns from liquid to solid (y = 10 degrees).
Note: more information is needed about this function be 100% certain about the claim made.