Quadratics Transformations and Characteristics

How would you describe the translation from f(x)=x²  to  f(x)=(x-3)² ?

• Horizontal translation: three units to the left

• Horizontal translation: three units to the right

• Vertical translation: three units up

• Vertical translation: three units down

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4

• f(x)=(x-3)²-4

• f(x)=(x+4)²-3

• f(x)=(x-4)²-3

How many zeros does this parabola have? 

• 3

• 2

• 0

• 1

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

What are the solutions to this function?

• x={-2,-1}

• x={-3,-1}

• x={-1,3}

• x={-1,-2}

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

Write the equation of this transformation: up 8

• y=(x+8)²

• y= x²+8

• y= x²-8

• y=8x²

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

If red represents y = x², which equation represents blue?

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2