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 = -x²

• y - axis reflection

• x - axis reflection

• reflection over the origin

• Rotation

Left 4 and up 7

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17
• f(x)= -(x-17)²
• f(x)= -(x+17)²
• f(x)= -x²+17

Describe the transformations.

• Translate Right 2, Down 4
• Translate Left 2, Down 4
• Translate Left 2, Up 4
• Translate Right 2, Up 4

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2