Linear, Quadratic, Exponential Functions Transformations

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

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

Given the original exponential function defined by y=4^x, how would the graph change if the function were: y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

What transformations occur in the following function?

• right 3, up 2

• left 3, up 2

• left 3, down 2

• right 3, down 2

• (0, 0)

• (0, 4)

• (0, 5)

• Logarithmic

• Linear

• Quadratic

• Exponential

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.