What is the equation of y = x 3 with the given transformations? vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down. i came up with y=(x-4)^3-3

Question:

What is the equation of y = x 3 with the given transformations? vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down.

Answers:

(1) y = 3(x - 4)³ - 3

(2) y = 3(x - 4)^3 - 3

Step-by-step explanations:

(1) The parent function is y = x³.

After a vertical stretch by a factor of 3, obtain

y = 3x³

After a horizontal shift 4 unit to the right, obtain

y = 3(x - 4)³

After a vertical shift 3 units down, obtain

y = 3(x - 4)³ - 3

(2) A vertical stretch factor 3 is given by 3x^3.  Horizontal shift 4 to the right is given by 3(x - 4)^3. Finally we  add -3 to this function to move it 3 units down.

Answer is y = 3(x- 4)^3 - 3

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2