Please answer the question in the image below

Up 5

Right 2

Step-by-step explanation:

Lets graph it first.

Look at the image below ↓

By looking at it we can tell that it is not narrower or wider but it has been sent up 5 and right 2.

Thus,

it has been moved up 5 and right 2.

Hope this helps :)

see explanation

Step-by-step explanation:

Given f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

thus (x - 2)² represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus + 5 represents a shift up by 5 units

Overall the graph of y = (x - 2)² + 5 is the graph of y = x²

shifted right by 2 units and up by 5 units

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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