Transformations of Quadratics (Vertex Form/Complete the Square)

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

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

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

The axis of symmetry of this parabola is...

• y=4
• y=-4
• x=4
• x=-4

Does the equation open up or down? 
Y = -3x² +7x - 2

• up
• down
• both 
• neither

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1