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notsponge [240]
2 years ago
8

Find the vertex of the quadratic function.

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
6 0

hi,

the function is given with it's canonic form.  

canonic form is  :  f(x) = a ( x-α)² + β

α  and β are the value of the coordonnates of the vertex.

so here we  have : ƒ(x) = 2(x−1)² +3

with α = 1  and β = 3

so vertex is  V (1;3)

So yes, answer is   A.

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Given the sequence 12, 9, 6, 3,........ where x = 0, 1, 2......,
Nitella [24]

Answer:

f(x) = -3x + 12

Step-by-step explanation:

The chart could be represented like this:

x             y

0            12

1             9

2            6

3            3

Suppose that f(x) = y

And substitute x values.

y = -3x + 12

"x = 0"

y = -3(0) + 12

y = 0 + 12

y = 12

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y = -3(3) + 12

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4 0
3 years ago
What is the solution to the equation t-15=76
geniusboy [140]

Answer:

T = 91

Step-by-step explanation:

Simplifying

T + -15 = 76

Reorder the terms:

-15 + T = 76

Solving

-15 + T = 76

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + T = 76 + 15

Combine like terms: -15 + 15 = 0

0 + T = 76 + 15

T = 76 + 15

Combine like terms: 76 + 15 = 91

T = 91

Simplifying

T = 91

3 0
1 year ago
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<h3>The answer is option A.</h3>

Step-by-step explanation:

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log_{3}(3)  = 1

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3 0
2 years ago
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Answer:

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Step-by-step explanation:

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