Shifting Graphs

Explain the shift for the following equation when compared to the parent function:

y = x² + 3

• left

• right

• up

• down

Explain the shift for the following equation when compared to the parent function:

y = (x+3)²

• left

• right

• up

• down

Explain the shift for the following equation when compared to the parent function:

y = x² - 5

• left

• right

• up

• down

Explain the shift for the following equation when compared to the parent function:

y = (x-4)²

• left

• right

• up

• down

Explain the shifts for the following equation when compared to the parent function:

y = (x-1)² - 2

• left, up

• left, down

• right, up

• right, down

Explain the shifts for the following equation when compared to the parent function:

y = (x+6)² - 2

• left, down

• left, up

• right, up

• right, down

Explain the shifts for the following equation when compared to the parent function:

y = (x-3)² + 7

• left, up

• left, down

• right, up

• right, down

Explain the shifts for the following equation when compared to the parent function:

y = -x²

• y - axis reflection

• x - axis reflection

• reflection over the origin

• Rotation

Explain the shifts for the following equation when compared to the parent function:

y = (-x)²

• reflection over x axis

• reflection over y axis

• reflection over the origin

• Rotation

Explain the shifts for the following equation when compared to the parent function:

y = - (x+6)² +3

• y axis reflection, left 6, up 3

• x axis reflection, left 6, up 3

• y axis reflection, right 6, up 3

• x axis reflection, right 6, up 3