transformations of quadratic functions

Multiple Choice

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

Multiple Choice

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Multiple Choice

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Multiple Choice

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5
• right 5
• up 5
• down 5

Multiple Choice

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

• up
• down

Multiple Choice

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Multiple Choice

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Multiple Choice

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

Multiple Choice

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

Multiple Choice

What transformations have occurred? 

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Math Response

The graph of quadratic function $$p$$ is shown on the grid.

If $$k\left(x\right)=x^2$$ and $$p\left(x\right)=k\left(x\right)+n,$$ what is the value of $$n?$$

Record your answer in the blank.

Type answer here

Correct Answer: -6

Deg^°

Rad

Multiple Choice

Write the equation of the quadratic function. (parabola)

• y = x² - 6

• y = x² + 6

• y = ( x - 6 )²

• y = ( x + 6 )²

Multiple Choice

What transformations have occurred? 

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Multiple Choice

The graph of $$f\left(x\right)=x^2$$ was transformed to create the graph of $$h\left(x\right)=2f\left(x\right)$$ .

Which graph best represents f and h?