Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the function,

f(1) = 21 - 6

Match each transformation of Rx) with its description.

g() = 21 – 10

9(0) = 21 - 14

g(1) = 81 - 4

g(t) = 21 - 2

g(1) = 81 - 24

g(I) = 85 - 6

shifts 1x) 4 units right

stretches x) by a factor

of 4 away from the x-axis

compresses (x) by a factor

of 4 toward the y-axis

shifts x 4 units down

Shift 4 units down:

Stretching f(x) by 4 :

Shift 4 units left:  

Compress by 1/4 units :

Step-by-step explanation:

Given

Required

Match the transformations (See attachment)

Shift 4 units down

Shifting down a function is represented as:

In this case:

Substitute expression for f(x) and 4 for b in

Stretching f(x) by 4

Stretching a function by some units is represented as:

In this case:

Substitute expression for f(x) and 4 for b in

Shift 4 units left

Shifting a function to the left is represented as:

In this case:

Substitute expression for f(x) and 4 for b in

Calculating f(x - 4)

Hence:

Compress by 1/4 units

This means that the function is stretched by

Compressing a function is represented as:

In this case:

Substitute expression for f(x) and 4 for b in

Calculating f(4x)

Hence:

answer: 1 + 1 = 11

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4