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ki77a [65]
3 years ago
10

What are the coordinates of the turning point for the function f(x) = (x + 2)3 − 4?

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:A

Step-by-step explanation:

Given

F(x)=(x+2)^3-4

Turning Point is the point where the graph changes its nature i.e. either increasing to decreasing or decreasing to increasing

to find turning point

F'(x)=3(x+2)^2+0

For critical point

F'(x)=0

3(x+2)^2=0

x+2=0

x=-2

F(x)=(-2+2)^3-4=-4

thus

(-2,-4 ) is the turning Point where Function changes its nature

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Let the graph of g be a translation 5 units up followed by a reflection about the y−axis of the graph of f(x)=6x. Write a rule f
yan [13]

Reflections and translations are instances of transformation.

<em>The rule of function g for the given reflection and translation is </em>g(x) =-6x + 5<em />

<em />

Given

f(x) = 6x

<u>The rule of translating 5 units up is:</u>

(x,y) \to (x,y+5)

So, we have:

f'(x) = f(x) +5

f'(x) = 6x +5

<u>The rule of reflecting about the y-axis is:</u>

(x,y) \to (-x,y)

So, we have:

g(x) =f(-x)

g(x) =6(-x) + 5

g(x) =-6x + 5

Hence, the rule of function g is: g(x) =-6x + 5

Read more about function transformations at:

brainly.com/question/13801312

5 0
2 years ago
Solve this problem as FAST as YOU can
natka813 [3]

That's actually tough

3 0
2 years ago
How do you do this question
ella [17]

Answer:


Step-by-step explanation:


5 0
3 years ago
The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo
Kaylis [27]

The rule for g(x) is: f(x) = (x-3)^2-3

Step-by-step explanation:

Given function is:

f(x) = x^2

When a function f(x) is shifted right or left, b units the new function is written as:

f(x) = x

Shifting right

g(x) = f(x-b)

Shifting left

g(x) = f(x+b)

Similarly, when shifting up or down

g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down

As our given function is shifted 3 units to the right, it will be written as:

f(x) = (x-3)^2

The function is when moved down 3 units, then

f(x) = (x-3)^2-3

Hence

The rule for g(x) is: f(x) = (x-3)^2-3

Keywords: Function transformation, Functions

Learn more about functions at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

5 0
3 years ago
John runs 4 miles in 30 minutes. at the same rate, how many miles would he run in 48 minutes?
dimulka [17.4K]
Make a ratio, then cross multiply.

4/30=x/48

30x=4x48
30x=192
x=6.4
3 0
3 years ago
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