Algebra Linear and Quadratic

Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

• y = 2^x

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

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

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 is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2

• y = -x² + 2

• y = x² - 2

• y = -(x + 2)²

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

• Translated right 3

• Translated left 3

• Translated up 3

• Translated down 9

Name the parent function. 

• constant

• quadratic

• linear

• exponential

Name the parent function.

• quadratic

• cubic

• square root

• logarithmic

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 left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical compression by a factor of 3
• horizontal shift to the left 2 and vertical compression by a factor of 3

• 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