Quadratic Transformation 3

y=x² is transformed to f(x) = 5(x+3)²-10, what transformation occured? ?

• Narrower, shift left 3, translate down 10

• Reflected, narrower, shift right 3

• Reflect, wider, shift left 3 and translate down 10

• wider, shift right 3 and translate down 10

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

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

Which transformation transforms the graph of

f(x) = x² to the graph of

g(x) = (x + 4)²?

• translated 4 units up

• shifted 4 units down

• translated 4 units to the left

• shifted 4 units to the right

The graph of which equation would be a REFLECTION of the y=x² and make it WIDER?

• y = -1/2x²

• y = 1/3x²

• y = - 5/2x²

• y = -x²

The graph of which equation would translate y=x² UP 2 and to the LEFT 4?

• y = (x - 4)² + 2

• y = (x + 4)² + 2

• y = (x + 4)² - 2

• y = (x - 4)² - 2

How is the graph of y = x² different from the graph of

y = 1/3x²?

• The graph of

  y = 1/3x² is shifted up.

• The graph of

  y = 1/3x² is shifted down.

• The graph of

  y = 1/3x² is wider.

• The graph of

  y = 1/3x² is narrower.

Name the solutions.

• (0,0) only

• (4,0) only

• (2,4)

• both (0,0) and (4,0)

What are the zeroes of the following function?

y = x² - 16

• x = 4, x = -4

• x = -4, x = -4

• x = 8, x = -8

• x = -8, = = -8

What are the zeroes of the following function?

f(x) = x² + 2x - 15

• x = -3, x = -5

• x = 3, x = 5

• x = -3, x = 5

• x = 3, x = -5