Parabola Shifts

The equation of red graph is y = x². The equation of the blue graph is...

• y = -(x + 4)² + 2

• y = (x + 4)² - 2

• y = (x - 4)² - 2

• y = (x + 4)² + 2

The vertex form of the quadratic equation helps you determine without graphing...

• direction of the parabola and its width

• horizontal and vertical shift

• vertex location

• all of the above

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

Which of the following is a transformation of the graph y = x² + 4 ?

• Shifts left 4.

• Shifts right 4.

• Shifts up 4.

• Shifts down 4.

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry 

• Vertex Form

Tags

CCSS.HSF-IF.C.7A

Which of the following is a transformation of the graph y = (x - 5)² ? 

• Shifts right 5.

• Shifts left 5.

• Shifts up 5.

• Shifts down 5.

Which way does the graph move if the equation looks like y = (x - 3)² ?

• Graph moves UP 3 units

• Graph moves to the RIGHT 3 units

• Graph moves DOWN 3 units

• Graph moves to the LEFT 3 units

Which way does the graph move if the equation looks like y = (x + 4)² ?

• Graph moves UP 4 units

• Graph moves to the RIGHT 4 units

• Graph moves DOWN 4 units

• Graph moves to the LEFT 4 units

When x² is changed to x²-3, the graph

• Shifts left 3 units.

• Shifts right 3 units

• shifts up 3 units.

• Shifts down 3 units.