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Mathematics 23 Online
mikewwe13:

Let f(x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes. f(x−3.5) < ----- > _______________ 3.5f(x) < ----- > ________________ f(x) is translated 3.5 units left. f(x) is vertically compressed by a factor of 3.5 f(x) is vertically stretched by a factor of 3.5 f(x) is translated 3.5 units down f(x) is translated 3.5 units up f(x) is translated 3.5 units right

mikewwe13:

@Vocaloid

Vocaloid:

hint: f(x-h) = a translation to the right by h units f(x−3.5) = a translation to the ___ by ___ units fill in the blanks.

Vocaloid:

sorry made a typo

mikewwe13:

ok

mikewwe13:

what you meant ?

Vocaloid:

hint: f(x-h) = a translation to the right by h units f(x−3.5) = a translation to the ___ by ___ units fill in the blanks.

mikewwe13:

left and x

Vocaloid:

follow the pattern.

Vocaloid:

|dw:1508868459876:dw|

Vocaloid:

|dw:1508868476541:dw|

Vocaloid:

|dw:1508868494875:dw|

Vocaloid:

f(x-h) is a translation to the ~right~ because of the subtraction sign

Vocaloid:

f(x - 3.5) is also a translation to the right because it also has the subtraction sign

Vocaloid:

use the picture to determine how many units

mikewwe13:

right and 3.5

Vocaloid:

good, that's your answer for a)

Vocaloid:

for b) h*f(x) is a vertical stretch by a factor of h 3.5f(x) is a vertical stretch by a factor of ___ fill in the blank

mikewwe13:

3

Vocaloid:

|dw:1508868709449:dw|

mikewwe13:

3.5

Vocaloid:

good so vertical stretch by 3.5 is your ans. for b)

mikewwe13:

what is for A again ?

Vocaloid:

scroll up

mikewwe13:

https://static.k12.com/nextgen_media/assets/8076048-NG_AL1_SemA_04_UT_17.png A function f(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. f(x)= _________

Vocaloid:

start by picking two points then using the slope formula

Vocaloid:

(0,1) and (1,3) are good picks

Vocaloid:

slope = (y2-y1)/(x2-x1) let (0,1) = (x1,y1) and (1,3) = (x2,y2) calculate the slope.

mikewwe13:

-10

Vocaloid:

x1 = 0 x2 = 1 y1 = 1 y2 = 3 calculate: (y2-y1)/(x2-x1) please

mikewwe13:

2

mikewwe13:

y=2x+1

Vocaloid:

good, y = 2x + 1 is your equation

mikewwe13:

What are the domain and range of each relation? Drag the answer into the box to match each relation. https://static.k12.com/nextgen_media/assets/8075071-NG_AL1_SemA_04_UT_19.png <


> __________________ https://static.k12.com/nextgen_media/assets/8075072-NG_AL1_SemA_04_UT_20.png <
> _____________ Domain: {-3, -2, 0, 2} Range: {0, 1} Domain: {-2, 0, 2, 4} Range: {-3, - 1, 0} Domain: {-3, -1, 0, 3} Range: {-1, 0, 1, 2, 3}

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