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g100num [7]
2 years ago
12

Identify the vertex and the y-intercept of the graph translated 1 unit right from the parent function f(x)=x2

Mathematics
1 answer:
Ronch [10]2 years ago
5 0

Answer:

Step-by-step explanation:

y = (x-1)²

vertex (1,0)

y-intercept = (0-1)² = 1

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Would you need to use the chain rule to find the derivative of this function?
Nutka1998 [239]

Answer:

TRUE. We need to use the chain rule to find the derivative of the given function.

Step-by-step explanation:

Chain rule to find the derivative,

We have to find the derivative of F(x)

If F(x) = f[g(x)]

Then F'(x) = f'[g(x)].g'(x)

Given function is,

y = \sqrt{2x+3}

Here g(x) = (2x + 3)

and f[g(x)] = \sqrt{2x+3}

\frac{dy}{dx}=\frac{d}{dx}(\sqrt{2x+3}).\frac{d}{dx} (2x+3)

y' = \frac{1}{2}(2x+3)^{(1-\frac{1}{2})}.(2)

   = (2x+3)^{-\frac{1}{2}}

y' = \frac{1}{\sqrt{2x+3}}

Therefore, it's true that we need to use the chain rule to find the derivative of the given function.

8 0
3 years ago
The difference of 4 minus 17 less the sum of 6 and 1
steposvetlana [31]

Answer:

4-(-10)

Step-by-step explanation:

17 less than 6+1 is negative 10 so 4 minus negative 10

5 0
3 years ago
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docker41 [41]

Answer:

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2 years ago
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ss7ja [257]

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7 0
3 years ago
What is the solution for the system of equations? Use the elimination method to solve. 2x+y=20 -5y=-6x+12
egoroff_w [7]

Given Equations :

✿  2x + y = 20 ------------------ [1]

✿  6x - 5y = 12 ----------------- [2]

Multiplying Equation [1] with 5, We get :

⇒ 5(2x + y) = 5(20)

⇒ 10x + 5y = 100 -------------- [3]

Adding Equations [2] and [3], We get :

⇒ (10x + 5y) + (6x - 5y) = 100 + 12

⇒ 16x = 112

⇒ x = 7

Substituting x = 7 in Equation [1], We get :

⇒ 2(7) + y = 20

⇒ 14 + y = 20

⇒ y = 20 - 14

⇒ y = 7

So, The Solution for the Given System of Equations is : (x , y) = (7 , 7)

3 0
3 years ago
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