Question

Rewrite y= (square root all) 9x+45 (non sqrt) -2 to make it easy to graph using a translation. describe the graph

Answer 1

Answer: 3sqrrt(x+5) -2.

:5 units left, 2 units down

Answer 2

(i)

shifted left side by 5 units

(ii)

vertically stretch by 3 units

(iii)

shifted vertically downward by 2 units

Explanation:

we are given

`y=√(9x+45) -2`

we can also write as

`y=√(9(x+5)) -2`

we can factor out 9

`y=3√((x+5)) -2`

Firstly, we will identify parent function

`y=√(x)`

step-1:

We can see that there is x+5 in place of x

so, f(x) will be shifted left side by 5 units

step-2:

3 is multiplied to sqrt

so, it is vertically stretch by 3 units

step-3:

-2 is added to y-value

so, it is shifted vertically downward by 2 units

Graph: