How does the graph of f(x) = (x − 8)3 + 4 compare to the parent function g(x) = x3?

Mathematics

1 answer:

USPshnik [31]3 years ago

3 0

Answer:

Hi there!

The difference between f(x) = 3(x-8) +4 and its parent function is: the function has been shifted right eight units and shifted up four units.

Step-by-step explanation:

---anytime there is a number within a parenthesis for example (x-a) or (x+a) means there is a horizontal shift

*subtracting means you shift to the right, adding means you shift to the left.

----The number outside of the parenthesis for example (x)+a or (x)-a means there is a vertical shift

*subtracting means you are shifting down, adding means you are shifting up

You might be interested in

you spend at most $10 at the mall you want to buy a book that costs $6.75 and a cold drink how much can you spend on the drink?

Aneli [31]

You can make an equation: 6.75 + x = 10
6.75 is the amount you spend on the book, x is the amount you can spend on the drink, and 10 is the total cost.

Solve for x to find how much you can spend on the drink.
6.75 + x = 10
Subtract 6.75 from both sides to isolate x.

x = 3.25

You can spend $3.25 on the drink.

6 0

3 years ago

Help me solve for q! 21 + 3q < 3 (13 - q) How do you solve it? Thank you!

Molodets [167]

Good morning

21 + 3q < 3(13 - q)
21+ 3q < 39 - 3q Here it was -3q and it was on the left side. However when you are switching it to another terms that looks like it you must change the sign as well.
3q + 3q < 39 - 21 Here I bring the common terms together.
6q < 18
Divide both sides by 6
6q/6 < 18/6
q < 3

8 0

3 years ago

In an orchard, there are 14 apple trees, 26 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?

AlladinOne [14]

Answer:

The ratio of apple to orange is 3 to 7 because if you simplify 15 to 21, you get that answer.

Step-by-step explanation:

5 0

3 years ago

Solve the equation 3/4x = 60

PolarNik [594]

Multiply both sides by 4/3
x= 60 * 4/3
x= 80