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nasty-shy [4]
2 years ago
6

Transformation of quadratic functions

Mathematics
1 answer:
Kitty [74]2 years ago
6 0

Answer:

g(x) = a(x − h)2 + k, where a ≠ 0.

Step-by-step explanation:

The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)2 + k, where a ≠ 0.

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Help please!!!!!!!!!!!!!
dedylja [7]

Answer:

position         1             5             8                12               19             25

term              -8            8             20             36               64            88

Step-by-step explanation:

(n - 1) is position ( n ∈ N)

d is the distance between the numbers in the sequence

a1 is the first number in the sequence

we have the fuction: a(n) = a1 + (n - 1)d

see in the table, with position = 1, term = -8 => a1 + d = -8

                                    position = 25, term = 88 => a1 + 25d = 88

=> we have: a1 + d = -8

                     a1 + 25d = 88

=> a1 = -12

    d = 4

=> a(n) = -12 + 4(n - 1)

=> term = 8, position = (8 + 12)/4 = 5

    position = 8, term = -12 + 4.8 = 20

    term = 36, position = (36 + 12)/4 = 12

    position = 19, term = -12 + 4.19 = 64

5 0
3 years ago
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Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
baherus [9]

Answer:

-6mph

Step-by-step explanation:

45 is 3/4hour so -8 times 3/4= -24/4=-6mph

7 0
3 years ago
Y=3x-1 identify the slope and y-intercerpt
soldier1979 [14.2K]

Answer: The slope is 3 and the y-intercept is -1

Step-by-step explanation: This is right bro. 100%

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anastassius [24]

Answer:

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Step-by-step explanation:

8h

h=9

8*9=72$

8 0
3 years ago
Nine dollars each hour
FromTheMoon [43]
I don’t understand your question
5 0
3 years ago
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