Quadratic Stretch and Shrink

Which transformations were applied to form the red graph from the blue graph?

• shrink, left 4, down 5

• stretch, left 4, down 5

• reflection, left 4, down 5

• reflection, shrink, left 4, down 5

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

If the blue is f(x)=x^2, the red must be

• g(x)=2x²

• g(x)=0.5x²

• g(x)=x²+2

• g(x)=(x+2)²

Match the description to its equation.
Stretches by a factor of 3

• A

• B

• C

• D

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

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

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

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

• Vertical Shrink by 0.3

• Vertical Stretch by 0.3

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