Answer:
Please find below. Fill in the table with the values of y given below.
Explanation:
For question 5, you should substitute the different values of x into the equation y =x^2 +4
So, when
x = -3, y = (-3)^2 +4 = 9+4 = 13
x = -2, y = (-2)^2 +4 = 4+4 = 8
x = -1, y = (-1)^2 + 4 = 1+4 = 5
x = 0, y = 0^2 + 4 = 4
x = 1, y = 1^2 +4 = 1+4 = 5
x = 2, y = 2^2 +4 = 8
x = 3, y = 3^2 + 4 = 13
x = 4, y = 4^2 + 4 = 20
For question 6, you need to find the nth term or a formula of y in terms of x.
For this, find the common difference between each of the consecutive values of y.
This is 5
So, the start if our equation is going to be ‘y = 5x’
Now, to find the ‘+c’ part, can be calculated by substituting the value of y when x = 1 into the y = 5x
So,
y = 5x + c
13 = 5 + c
Rearrange the find that c = 8
Therefore, the nth term formula = 5x + 8
Hope this helps