Quadratic Transformations

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up

• down

Tags

A.7.C

AI.9.7.C

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

Tags

A.7.C

AI.9.7.C

Given the equation for this parabola:  y=-(x - 4)² - 3, does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

A.7.C

AI.9.7.C

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

Tags

A.7.C

AI.9.7.C

• left 2
• down 4
• right 2
• up 4
• left 4
• up 2

Tags

A.7.C

AI.9.7.C

Jordan sketched the graph of the function f(x) = x.  Then he made the following transformations to create the function h:  He shifted the function 3 units down, 4 units to the left and made it less steep by a factor of 1/2.  Which function shows the transformations that Jordan made?

• h(x) = 1/2f(x - 3) + 4
• h(x) = 1/2f(x + 4) - 3
• h(x) = 1/2f(x + 3) - 4
• h(x) = f(x + 4) - 3

Tags

A.7.C

AI.9.7.C

• 
• 
• 
• 

Tags

A.7.C

AI.9.7.C

Tags

A.7.C

AI.9.7.C

• The graph of g is narrower then the graph of f.

• The graph of g is wider then the graph of f.

• The graph of g is 7 units below the graph of f.

• The graph of g is 7 units above the graph of f.

Tags

A.7.C

AI.9.7.C

A quadratic function is graphed on the grid.

Which answer choice best represents the domain and range of the function?

Tags

AI.9.6.A