# Im giving brainliest+60 points aaa there are 4 transformations for each function describe

###### Question:

## Answers

For the first one.

1) Vertical stretch by a factor of 3.

2) Reflection in the x-axis.

3) Vertical translation of 1 unit down.

4) Horizontal translation of 2 units right.

Second.

1)Vertical compression of 1/4.

2) Reflection in the x-axis.

3)Vertical translation of 1 unit down.

4) Horizontal translation of 1 unit left.

Refer back to the parent function for each transformation.

f(x)= a*2^b(x-h) -k

A = Vertical stretches/Compression

if its -, Reflect in the x-axis

B = Horizontal stretch/compression

if its -, Reflect in the y-axis

H = Horizontal translations

K = Vertical translations

For the first one.

1) Vertical stretch by a factor of 3.

2) Reflection in the x-axis.

3) Vertical translation of 1 unit down.

4) Horizontal translation of 2 units right.

Second.

1)Vertical compression of 1/4.

2) Reflection in the x-axis.

3)Vertical translation of 1 unit down.

4) Horizontal translation of 1 unit left.

Refer back to the parent function for each transformation.

f(x)= a*2^b(x-h) -k

A = Vertical stretches/Compression

if its -, Reflect in the x-axis

B = Horizontal stretch/compression

if its -, Reflect in the y-axis

H = Horizontal translations

K = Vertical translations

f(x) + n - translate the graph n units up

f(x) - n - translate the graph n units down

f(x + n) - translate the graph n units left

f(x - n) - translate the graph n units right

nf(x) - dilation of the graph along the Oy axis and the scale n

f(nx) - dilation of the graph along the Ox axis and the scale 1/n

-f(x) - symmetry of the graph with respect to the Ox axis

f(-x) - symmetry of the graph with respect to the Oy axis

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[tex]f(x)=-3\cdot2^{x-1}-1\\\\g(x)=2^x\\\\3g(x)=3\cdot2^x-\text{dilatation by a scale of 3}\\\\-3g(x)=-3\cdot2^x-\text{symmetry of the graph with respect to the Ox axis}\\\\-3g(x-1)=-3\cdot2^{x-1}-\text{translate the graph 1 unit right}\\\\-3g(x-1)-1=f(x)=-3\cdot2^{x-1}-1-\text{translate the graph 1 unit down}[/tex]

[tex]f(x)=-\dfrac{1}{4}\cdot2^{x+1}-1\\\\g(x)=2^x\\\\\dfrac{1}{4}g(x)=\dfrac{1}{4}\cdot2^x-\text{dilatation by a scale of}\ \dfrac{1}{4}\\\\-\dfrac{1}{4}g(x)=-\dfrac{1}{4}\cdot2^x-\text{symmetry of the graph with respect to the Ox axis}\\\\-\dfrac{1}{4}g(x+1)=-\dfrac{1}{4}\cdot2^{x+1}-\text{translate the graph 1 unit left}\\\\-\dfrac{1}{4}g(x+1)-1=f(x)=-\dfrac{1}{4}\cdot2^{x+1}-1-\text{translate the graph 1 unit down}[/tex]

just say that its a trick question. it has too many transformations to posibly figure out the parent fuction

To shift graph functions to the left: We will be adding inside the function: y= f(x+b) 2. Shift to the right: We will be subtracting inside the function: y= f(x-b) 3. To shift graph up some units: We would be adding outside the function: y= f(x)+b 4.

im alright what do you need

step-by-step explanation:

let f (x ) is a function and c be a positive real number, the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1, the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: