Quadratic Transformation

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2

Move the correct answer to each box. Not all answers will be used. ( (a)   , ​ (b)   )

• 3

• -9

• -3

• 0

• 9

Tags

AI.9.7.C

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

Tags

CCSS.HSF-IF.C.7A

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 compression by -3

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

Tags

CCSS.HSF-IF.C.7A

How did we transform from the parent function?

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

• vertical compression 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

Compare the function y = 0.3x² to the parent function y = x²

• Vertical Compression by 0.3

• Vertical Stretch by 0.3

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?

• y = x² - 5

• y = x² + 5

• y = (x - 5)²

• y = (x + 5)²

• Vertical stretch by a factor of 3

• Vertical compression by a factor of 3