Linear and Quadratic Transformations

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

• up 3

• down 3

• right 1

• left 1

• downward

• upward

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

• Shifts the graph left three units

• Shifts the graph right three units

• Shifts the graph up three units

• Shifts the graph down three units

What does the equation \(g\left(x\right) = f\left(x\right)-4\) do to the graph of f(x)?

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units