05.03.2021

Finding the vertex what is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?

. 1

Step-by-step answer

18.10.2022, solved by verified expert
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(5, -9)

Step-by-step explanation:

Let's multiply the function out:

f(x) = (x-8)(x-2)

Finding the vertex what is the vertex of the, №15244290, 05.03.2021 07:08

The vertex is (h, k), where

h = -b/2a

and

k is plugging in h into the equation

a is the number before the x^2 term, hence a = 1b is the number before x term, hence b = -10c is the constant , hence c = 16

Plugging these into the formula for h, we get:

Finding the vertex what is the vertex of the, №15244290, 05.03.2021 07:08

Now pluggin in 5 into the equation we get:

Finding the vertex what is the vertex of the, №15244290, 05.03.2021 07:08

Hence, vertex is (5, -9)

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(5,-9)

Step-by-step explanation:

You need to apply Distributive property:

Finding the vertex what is the vertex of the, №15244290, 05.03.2021 07:08

Find the x-coordinate of the vertex with this formula:

Finding the vertex what is the vertex of the, №15244290, 05.03.2021 07:08

In this case:

Finding the vertex what is the vertex of the, №15244290, 05.03.2021 07:08

Then you get:

Finding the vertex what is the vertex of the, №15244290, 05.03.2021 07:08

Substitute x=5 into the function to find the y-coordinate:

Finding the vertex what is the vertex of the, №15244290, 05.03.2021 07:08

Therefore the vertex is: (5,-9)

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Faq

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P Answered by PhD
Answer: the vertex of the quadric is =( x,y)=(2,-16).
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Step-by-step answer
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Answer: the vertex of the quadric is =( x,y)=(2,-16).
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Answer: the vertex of the quadric is =( x,y)=(2,-16).
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P Answered by Specialist
Answer: the vertex of the quadric is =( x,y)=(2,-16).
Mathematics
Step-by-step answer
P Answered by PhD
Answer: the vertex of the quadric is =( x,y)=(2,-16).
Mathematics
Step-by-step answer
P Answered by PhD
Answer: the vertex of the quadric is =( x,y)=(2,-16).
Mathematics
Step-by-step answer
P Answered by PhD
Answer: the vertex of the quadric is =( x,y)=(2,-16).
Mathematics
Step-by-step answer
P Answered by PhD
Answer: the vertex of the quadric is =( x,y)=(2,-16).
Mathematics
Step-by-step answer
P Answered by PhD
Answer: the vertex of the quadric is =( x,y)=(2,-16).
Mathematics
Step-by-step answer
P Answered by PhD
Answer: the vertex of the quadric is =( x,y)=(2,-16).

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