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Artist 52 [7]
3 years ago
13

Choose the function that shows the correct transformation of the quadratic function shifted eight units to the left and one unit

down.
ƒ(x) = (x - 8)2 - 1
ƒ(x) = (x - 8)2 + 1
ƒ(x) = (x + 8)2 - 1
ƒ(x) = (x + 8)2 + 1
Mathematics
2 answers:
Wittaler [7]3 years ago
8 0
The vector[-8;-1]

f(x)=(x+8)^2-1


:)
MrRa [10]3 years ago
7 0

Answer:

The correct option is 3.

Step-by-step explanation:

The parent quadratic function shifted is

f(x)=x^2

The translation is defined as

f(x)=(x+a)^2+b                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the quadratic function shifted 8 units left and 1 units down. It means a=8 and b=-1.

Substitute a=8 and b=-1 in equation (1).

f(x)=(x+8)^2+(-1)

f(x)=(x+8)^2-1

Therefore the correct option is 3.

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