Question

1-37. On many graphing calculators, equations must be entered in y=form. Rewrite eachequation in y= form. Then use the Desmos tool to confirm that your equations are correct.1-37 HW e Tool (Desmos). Homework HelpIa. x=3y+6b. x=5y-10C. x=y2d. x=2y2-4e. x=(y-5)2

Answer 1

a) y = (x-6)/3

b) y = (x + 10)/5

c)

`y=√(x)`

d)

`y=\sqrt{(x+4)/(2)}`

e)

`y=√(x)+5`

Explanation:

In each case, first we place everything with y on the left side and everything without y on the right side. Then we apply the operation needed to isolate y.

a. x=3y+6

3y + 6 = x

3y = x - 6

y = (x-6)/3

b. x=5y-10

5y - 10 = x

5y = x + 10

y = (x + 10)/5

C. x=y2

y² = x

To simplify the square, we apply the square root to both sides. So

`√(y^2)=√(x)`
`y=√(x)`

d. x=2y2-4

2y2-4 = x

2y² = x + 4

y² = (x+4)/2

Again, to simplify the square, we apply the root to both sides.

`√(y^2)=\sqrt{(x+4)/(2)}`
`y=\sqrt{(x+4)/(2)}`

e. x=(y-5)2

(y-5)² = x

`√((y-5)^2)=√(x)`
`y-5=√(x)`
`y=√(x)+5`