Question

Help with this Please


Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 7?
A. It is the graph of y = x where the slope is increased by 7.
B. It is the graph of y = x translated 7 units to the right.
C. It is the graph of y = x translated 7 units down.
D. It is the graph of y = x translated 7 units to the left.

Answer 1

k units left transformation :
f(x) -> f(x + k)

Answer 2

so it would be the opposite of what i was thinking it would actually be D

Answer 3

Yes ! D is right, more on this here :
http://www.mathsisfun.com/sets/function-transformations.html

Answer 4

Express the terms of the following sequence by giving an explicit formula.

5 , 3 , 1 , -1, -3 , . . .
A. \[^an\] = n + 2, where n = 1, 2, 3, 4, . . .

B. \[^an\] = 2n, where n = 1, 2, 3, 4, . . .

C. \[^an\] = 7 - 2n, where n = 1, 2, 3, 4, . . .

D. \[^an\] = 2 + 7n, where n = 1, 2, 3, 4, . . .

Answer 5

see any pattern in the given sequence :
5 , 3 , 1 , -1, -3 , . . .

?

Answer 6

yes it actually looks like a mirror

Answer 7

and.. how does each next term is increasing/decreasing by ?

Answer 8

looks each term is getting reduced by 2, eh ?
5-2 = 3
3-2 = 1
1-2 = -1
-1-2 = -3
...

Answer 9

hmmm so wouldnt tht make this C

Answer 10

Yep !
first term = 5
common difference = -2
so the nth term is ; \(a_n = a_1 + (n-1)*d\)

\(a_n = 5 + (n-1)*(-2)\)

Answer 11

simplifying it gives u C^