Quadratic Graph Match

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

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

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

• a reflection across the x-axis

• 4 units up

• 4 units to the left

• 4 units to the right

Match the equation to its description.

• Reflected over x axis and up 4

• Reflected over x axis and down 4

• Reflected over x axis and right 4

• Reflected over x axis and left 4

Match the equation to its description.

• Vertical Stretch by 2 and up 4

• Vertical Shrink by 2 and up 4

• Vertical Stretch by 2 and left 4

• Vertical Shrink by 2 and left 4

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

How did we transform from y=x²?

y = -3x²

• reflection over x-axis and vertical shift down 3

• reflection over x-axis and vertical stretch by 3

• vertical stretch by -3

• reflection over x-axis and vertical shrink by -3

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

What transformations have occurred? 

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

How did we transform from the parent function?

• reflection over x-axis, vertical shrink by 1/5, right 1, up 7

• vertical shrink by 1/5, left 1, up 7

• reflection over x-axis, right 7, down 1

• reflection over x-axis, vertical stretch by 1/5, left1, up 7