Which graph represents y=3(x-3)^2+3
1 answer:
You might be interested in
Answer:
The common difference d is d = -3
The recursive formula is:
Step-by-step explanation:
We need to find the common difference and the recursive formula.
a. 22, 19, 16, 13, …
First we will find common difference
The formula of arithmetic sequence is:
where a_n is nth term, a_1 is 1st term and d is the difference
Looking at the sequence we get: a_1=22, a_2=19
Using these values we can find d, the common difference
So, the common difference d is d = -3
Now, we will find the recursive formula:
The recursive formula is of type:
We have found common difference d = -3
So, the recursive formula will be:
The recursive formula is:
Answer:
The equation of the line with slope m = 2 and passing through the point (1, 1) will be:
Step-by-step explanation:
We know that the point-slope form of the line equation is
where
- m is the slope of the line
- (x₁, y₁) is the point
The formula is termed as the point-slope form of the line equation because if we know one point on a certain line and the slope of that line, then we can easily get the line equation with this formula and, hence, determine all other points on the line.
For example, if we are given the point (1, 1) and slope m = 2
Then substituting the values m = 2 and the point (1, 2)
Therefore, the equation of the line with slope m = 2 and passing through the point (1, 1) will be: