Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3? 2 units left and 3 units up 2 units left and 3 units down 2 units right and 3 units up 2 units right and 3 units down

Option C is the answer.

Step-by-step explanation:

Graph represented by y = (x + 2)² is a quadratic function or a parabola.

This equation is in the vertex form y = (x -h)² + k

where (h, k) is the vertex.

So in the graph y = (x + 2)², vertex is (-2, 0)

Now the translated form of the parabola is y = x² + 3

In this equation vertex is (0, -3)

We can now easily find the translation of vertex (-2, 0) to (0, 3)

Horizontal shift = 0 - (-2) = +2

Vertical shift = 3 - 0 = +3

Therefore, a horizontal shift of 2 units right and vertical shift of 3 units up has been done in the parent function.

Option C. is the answer.

days of the week

step-by-step explanation:

javier earned more money then kyle, so that won't always be a constant term, but the days of the week do not change so that term is always constant.

edit: i meant

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages