What does the C value represent in a quadratic equation

1

ZanzabumX [31]

Answer:

To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis

Step-by-step explanation:

Given

$f(x) = x^3$

$h(x) =-(x + 2)^3 - 4$

Required

Complete chart

First: f(x) was translated right by 2 units

The rule of right translation is $(x,y) \to (x + 2,y)$

So, we have:

$f'(x) = f(x + 2)$

$f'(x) = (x + 2)^3$

Next: f'(x) was translated up by 4 units

The rule of down translation is $(x,y) \to (x,y+4)$

So, we have:

$f"(x) = f'(x) +4$

$f"(x) = (x + 2)^3 +4$

Lastly, f"(x) was reflected across the x-axis;

The rule of this reflection is: $(x,y) \to (x,-y)$

So, we have:

$h(x) = -f"(x)$

$h(x) = -[(x+2)^3 + 4]$

Remove bracket

$h(x) = -(x+2)^3 - 4$

8 0

2 years ago

Given that (3,9) is on the graph of f(x), find the corresponding point for the function. F(x)+1

Goryan [66]

Answer:

(4,10)

Step-by-step explanation:

Input: (3,9)

(3+1, 9+1)

Output: (4,10)

8 0

3 years ago

Read 2 more answers

Part A: Explain why we do not measure the rate at which water flows out through a shower head in cubic meters per second? In you

a_sh-v [17]

We have that the stream of water is coming out in small quantities; at most liters at a time since the stream has a width of around 10cm at most times. Hence, cubic meters per second is too large a unit to measure the small quantity of water going through the shower.
We have that we can calculate the rate if we know the surface area of the flow and the speed of the water. If one multiplies those 2 together, one gets the rate because the speed of water is pretty much how much a front of water is moving per second; if you multiply it by its surface area, you get how much a volume of water is moving.

5 0

3 years ago

Use front end estimation with adjustment to estimate each difference..5780-3962

inessss [21]

Idk what to do on yalls problems

4 0

3 years ago

⦁ Use both methods to find the distance between the points on the number line.

Vitek1552 [10]

Answer:

4 and 4

Step-by-step explanation:

Method A

1) Method A: Let 2 be the starting point and -2, the finishing one. Counting between 2 and -2, we can count a distance of 4 units. That's the simplest way, but not convenient to great numbers on the Number Line.

Method B:

There is no such thing as a negative distance, as a physical quantity. So this is the reason why we need to compute the absolute value of two numbers, which is simply what was done on Method B.

|2-(-2)|=|4|=4

As we are dealing with absolute values, the order is not relevant after all, the result remains the same. Take a look:

|-2-2|=|-4|=4

That's why the greater (2) or the lesser number (-2) can be the subtrahend (in bold within the brackets.

3 0

2 years ago