Beginning Transformations for Quadratics

Match the equation to its description.

• Reflected over x and up 4

• Reflected over x and down 4

• Reflected over x and right 4

• Reflected over x and left 4

Match the equation to its description.

• Stretched by 2 and up 4

• Compressed (shrunk) by 2 and up 4

• Stretched by 2 and left 4

• Compressed (shrunk) by 2 and left 4

Match the equation to its description.

• Stretched by 4 and up 4
• Compressed by 4 and up 4
• Stretched by 4 and left 4
• Compressed by 4 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with -f(x)?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

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

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

The axis of symmetry of this parabola is...

• y = 4

• y = -4

• x = 4

• x = -4

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

Tags

CCSS.HSF.BF.B.3

How did we transform from y=x² ?

y = -3x²

• reflection and vertical shift down

• reflection and vertical stretch

• horizontal stretch

• reflection and vertical compression (shrink)

Which describes the transformation of the graph of f(x) = x²  to the graph of  g(x) = -4x²

• Reflected, narrower
• reflected, wider
• shifted down 4 units
• shifted up 4 units

Tags

CCSS.HSF.BF.B.3