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:

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.