Graph Quadratic Equations and Transformations

• Horizontal Shift Right 3

• Horizontal Shift Left 3

• Vertical Shift Up 3

• Vertical Shift Down 3

• Horizontal Shift Left 4

• Horizontal Shift Right 4

• Vertical Shift Up 4

• Vertical Shift Down 4

State the transformations:
y=\sqrt{x}-1

• Horizontal Shift Left1

• Horizontal Shift Right 1

• Vertical Shift Up 1

• Vertical Shift Down 1

Name the parent function.

• quadratic

• cubic

• square root

• logarithmic

Which equation is shown?

• y = (x-2)²

• y = (x+2)²

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

• translation

• rotation

• reflection

• vertical stretch

Which of the following functions reflects the graph f(x)=(x-1)² ?

• g(x)= - (x-1)²

• g(x)= (x+1)²

• g(x)= (-x-1)²

• g(x)= (x-1)²-1

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

• g(x)= x²+3

• g(x)= (x+3)²

• g(x)= (x-3)²

• g(x) =(x-2)²