Jamal runs the bouncy house at a festival. The bouncy house can hold a maximum of 1200 pounds at one time. He

The function f(x)=x−−√ is reflected over the x-axis, translated 4 units down and 5 units to the left, then vertically stretched

Gnesinka [82]

Transformation involves changing the position of a function.

The equation of the new function is: $\mathbf{g(x) = -3\sqrt{x + 5} - 12}$

The function is given as:

$\mathbf{f(x) = \sqrt x}$

The rule of reflection across the x-axis is:

$\mathbf{(x,y) \to (x,-y)}$

So, we have:

$\mathbf{f'(x) = -\sqrt x}$

The rule of translation, 4 units down and 5 units left is:

$\mathbf{(x,y) \to ( x + 5,y-4)}$

So, we have:

$\mathbf{f"(x) = -\sqrt{x + 5} - 4}$

The rule of vertical stretch by a factor of # is:

$\mathbf{(x,y) \to (x,3y)}$

So, we have:

$\mathbf{g(x) = 3(-\sqrt{x + 5} - 4)}$

$\mathbf{g(x) = -3\sqrt{x + 5} - 12}$

Hence, the equation of the new function is:

$\mathbf{g(x) = -3\sqrt{x + 5} - 12}$

Read more about transformation at:

brainly.com/question/13801312

8 0

3 years ago

Read 2 more answers

5 QUESTIONS PLZ ANSWER ASAP WILL GIVE BRAINLIEST ANSWER

elena-s [515]

Question 1 would be 4 divided by 1/3 (A)
Question 2 would be 16 (A)
Question 3 would be 48 (B)
Question 4 would be 60 laps
Question 5 would be 1/15th
Hope this helps!! :D

5 0

3 years ago

What is the answer to 5x10?

mixas84 [53]

5 X 10 = 50 , Hope this helps :)

7 0

3 years ago

Read 2 more answers

Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area

Evgen [1.6K]

Answer:

398 ft²

Step-by-step explanation:

Assuming you have correctly described the total area in terms of non-overlapping triangles and a rectangle, you can put the dimensions into the appropriate area formula and add up the pieces.

Triangle area = 1/2·bh

Rectangle area = bh

___

So, the first triangle has an area of ...

1/2·(20 ft)(20 ft) = 200 ft²

The second triangle has an area of ...

1/2·(6 ft)(6 ft) = 18 ft²

The rectangle has an area of ...

(30 ft)(6 ft) = 180 ft²

And the area total is ...

200 ft² +18 ft² +180 ft² = 398 ft²

4 0

3 years ago

Your company maintains a cylindrical oil refinery storage tank that is 190 feet across on the inside and 80 feet high. The tank

Lorico [155]

Answer:

The correct answer is A. You multiplied that tank's radius by two instead of calculating r²

Step-by-step explanation:

This is the wrong calculation we did:

Volume of the cylindrical oil refinery storage tank = π * 2r * h * 0.75

Replacing with the real values, we got:

Volume of the cylindrical oil refinery storage tank = 3.14 * 2 * 95 *80 * 0.75

Volume of the cylindrical oil refinery storage tank = 35,796 cubic feet (Rounded 35,800)

This is the correct calculation we should have done:

Volume of the cylindrical oil refinery storage tank = π * r² * h * 0.75

Replacing with the real values, we got:

Volume of the cylindrical oil refinery storage tank = 3.14 * 95² *80 * 0.75

Volume of the cylindrical oil refinery storage tank = 1'700.310 cubic feet

4 0

3 years ago