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Elden [556K]
3 years ago
8

Please help. I will give 16 points.

Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer:

(4, -2)

Step-by-step explanation:

if you do process of elimination you find that 'a' doesn't work out but 'b' will . . . substitute -2 for 'y' and 4 for 'x' and see if the equation is true

-2 = -3/4(4) + 1

-2 = -3 + 1

-2 = -2  

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Find the quadratic function that has a vertex at (3,4) and goes through the point (0,13).​
vladimir2022 [97]

Answer:

f

(

x

)

=

−

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Explanation:

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f

(

x

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=

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is the vertex and

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In our example the vertex

(

h

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k

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is

(

3

,

4

)

, so we can write:

f

(

x

)

=

a

(

x

−

3

)

2

+

4

Given that this passes through the point

(

1

,

2

)

, we must have:

2

=

a

(

1

−

3

)

2

+

4

=

4

a

+

4

Subtract

4

from both ends to get:

−

2

=

4

a

Divide both sides by

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a

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−

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2

So our quadratic function can be written in vertex form as:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

We can multiply this out and simplify as follows:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

f

(

x

)

=

−

1

2

(

x

2

−

6

x

+

9

)

+

4

f

(

x

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=

−

1

2

x

2

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3

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−

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2

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x

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<h3>What is Division?</h3>

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