Quadratic Functions and Characteristics

• -3, 4
• 3, 4
• -4, -3
• -3

Tags

CCSS.HSA-REI.B.4B

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

The solutions of a quadratic equation are known as the _____.

• Vertices

• Roots

• Squares

• Formulas

What is the equation for the axis of symmetry of
f(x)= (x +1)² + 5

• x = 1

• x = -1

• x = -5

• x = 5

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

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

Solve using the quadratic formula

•  

•  

•  

•  

Tags

CCSS.HSA-REI.B.4B

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right