Quadratic Parent Function

What type of function is shown?

• quadratic

• cube root

• absolute value

• square root

• horizontal shift to the right 2 and vertical shift up 4
• horizontal shift to the right 2 and vertical shift down 4
• horizontal shift to the left 2 and vertical shift up 2
• horizontal shift to the left 2 and vertical shift down 2

• horizontal shift to the right 2 and vertical shift up 4
• horizontal shift to the right 2 and vertical shift down 4
• horizontal shift to the left 2 and vertical shift up 4
• horizontal shift to the left 2 and vertical shift down 4

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3

• Translated left 3

• Translated up 3

• Translated down 9

Tell how the function transformed from y =x²
y = -2x²

• Translated left 2 units

• Reflected over x-axis

• Stretched vertically and reflected over x-axis

• Compressed vertically and reflected over the x-axis

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift down 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift up 2

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift up 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift down 2

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²