Write a function g, whose graph represents a reflection in the x-axis and a vertical stretch by factor 2 of the graph of f(x)=[x]
a) g(x) = –2|x|
b) g(x) = - |x|
c) g(x) = 2|x|
d) g(x) = |x – 1|+ 2

Write a function 9, whose graph represents a vertical shrink by
factor 1/2 of the graph of f(x) = |x|
a) g(x) = |1/2x|
b) g(x) = 1/2 |x|
C) g(x) = |x + 1/2|
D) g(x) = |x| + 1/2

Write a function g, whose graph represents a horizontal
translation 5 units left and a vertical translation 3 unit up of
the graph of f(x) = |x|
a) g(x) |x + 5| + 3
b) g(x) = |x - 5| + 3
c) g(x) 5|x| + 3
d) g(x) = 3|x| + 5

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.

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.

1. perpendicular

2. parallel

3. perpendicular

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13