Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

2
3
4
5

the answer is 5

Step-by-step explanation:

The value of k would be 4

Step-by-step explanation:

If f(x) is shifted vertically k unit upward then,

Transformed function is,

g(x) = f(x) + k,

Using the given graph,

line f(x) passes through (0, -3)

line g(x) passes through (0, 1)

Difference in y-coordinate = 1 - (-3) = 1 + 3 = 4

∵ y-coordinate represents the vertical shifting,

So, g(x) = f(x) + 4,

Hence, the value of k would be 4.

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.

24 units

step-by-step explanation: