Question

Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Translated up by 1 unit 2. y = (x - 1)2 + 1 Translated left by 4 units 3. y = (x + 1)2 Translated right by 1 unit 4. y = (x - 2)2 Translated down by 3 units 5. y = (x - 1)2 - 3 Reflected over the x-axis 6. y = (x + 3)2 Reflected over the y-axis

Answer 1

Answer:

1. $y = - (x - 1)^{2}$, Reflected over the x-axis.

2. $y = (x - 1)^{2} +1$ , Translated up by 1 unit.

3. $y = (x + 1)^{2}$ , Reflected over y-axis

4. $y = (x - 2)^{2}$ ,Translated right by 1 unit.

5. $y = (x - 1)^2 - 3$, Translated down by 3 units

6. $y = (x + 3)^2$, Translated left by 4 units.

Step-by-step explanation:

Given that:

Parent function: $y = (x - 1)^{2}$ Please refer to attached Graph4.

1. $y = - (x - 1)^{2}$  Sign of y is changed from + to -, so it gets reflected over x axis. Please refer to attached Graph3.

2. $y = (x - 1)^{2} +1$: 1 is added to y to translated up (positive y by 1 unit). Please refer to attached Graph3.

3. $y = (x + 1)^{2}$ , Reflected over y-axis, please refer to attached Graph4.

4. $y = (x - 2)^{2}$ : 1 is subtracted from x , it gets Translated right by 1 unit. Please refer to attached Graph5.

5. $y = (x - 1)^2 - 3$, 3 subtracted from y so it getss translated down by 3 units. Please refer to attached Graph6.

6. $y = (x + 3)^2$, 4 added to x, so it gets translated left by 4 units. Please refer to attached Graph5.