Explain how the values of h and k in y=|x-h|+k affect the graph of y=|x|

Horizontal shift:

For the parent function f(x) and a constant h, the function given by   g(x) = f(x-h)  can be sketched by shifting f(x) h units horizontally.

The values of h determines the direction of shifts:

If :

Vertical shifts:

For the parent function f(x) and  a constant k, the function given by  g(x) =f(x) +k  can be sketched by shifting f(x) k units vertically.

The value of k determines the direction of shifts;

if:

Therefore, the values of  h and k in y=|x-h|+k affect the graph of y=|x| tells us how far the graph shifts horizontally and vertically.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

3x3 = 9 and 2x2 = 4

step-by-step explanation: