Interactive Lesson Quadratic Function Transformation

Interactive Lesson Quadratic Function Transformations

Multiple Choice

How did we transform from the parent function?

y = x² + 2

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

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

Which transformation maps the graph of

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

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Multiple Choice

Write the equation of the quadratic function. (parabola)

• y = x² - 6

• y = x² + 6

• y = ( x - 6 )²

• y = ( x + 6 )²

the quadratic term is the a value

Multiple Choice

Write the equation of the quadratic function. (parabola)

• y = x² - 1

• y = - x²

• y = ( - x - 1 )²

• y = ( - x + 1 )²

Multiple Choice

Match the equation to its description.

• Reflected over x, right 2 and up 1

• Reflected over x, left 2 and up 1

• Reflected over x, right 2 and down 1

• Reflected over x, left 2 and down 1

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