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miss Akunina [59]
3 years ago
9

A quadratic function y=f(x) is plotted on a graph and the vertex of the parabola is (3,6). What is the vertex of the function de

fined as g(x)=f(x+5)?
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

vertex = (- 2, 6)

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here a = 5 , thus a horizontal translation left by 5 units.

Thus

vertex of g(x) = (3 - 5, 6 ) = (- 2, 6 )

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Answer:

OA) 14

Step-by-step explanation:

2((7+1)-1)

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You could expand the brackets then simplify or just simplify now. It will be better to simplify now though but I will do both methods.

Simplifying first:

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There is 2 ways to solve this type of question.

Method 1
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Formula
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a² + b² = c²

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Apply the formula
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(7√2)² + (7√2)² = c²
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_____________________________________________________________

Method 2
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Identify the triangle
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This is a special triangle
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Property of the Angles 
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x - x - x√2

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Given that the non-hypotenuse is 7√2

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Hypotenuse =  7 x 2
Hypotenuse = = 14cm

--------------------------------------------------
Ans: The diagonal length is 14cm 
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