Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 9 Shift the graph of y = x2 left 9 units. Shift the graph of y = x2 right 9 units. Shift the graph of y = x2 down 9 units. Shift the graph of y = x2 up 9 units.

Shift of graph of y=x^2 up 9 units.

Option D is correct option.

Step-by-step explanation:

We are given:

We need to describe how the graph of can be transformed to the graph of the given equation

We know the transformation rule:

If f(x) is transformed into f(x)+h, the graph is transformed vertically up h units.

So, In our case:

is transformed into

So, The graph is transformed vertically up 9 units.

Or we can write, shift of graph of y=x^2 up 9 units.

Option D is correct option.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

answer: i believe the answer is e

step-by-step explanation: