Quadratic Transformations

What is the axis of symmetry in a function?

• The transformation of the graph

• The vertex, represented by (h,k)

• A vertical line that passes through the vertex and divides the parabola in half

• y = h

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

How is the graph of y = x² different from the graph of
y = 1/3x²?

• The graph of
  y = 1/3x² is shifted up.
• The graph of
  y = 1/3x² is shifted down.
• The graph of
  y = 1/3x² is wider.
• The graph of
  y = 1/3x² is narrower.

Tags

CCSS.HSF.BF.B.3

Find the equation of the parabola that has moved...

5 units to the right

• $y=x^2+5$

• $y=x^2-5$

• $y=\left(x+5\right)^2$

• $y=\left(x-5\right)^2$

Tags

CCSS.HSF.BF.B.3

Find the equation of the parabola that has moved...

8 units down

• $y=x^2+8$

• $y=x^2-8$

• $y=\left(x+8\right)^2$

• $y=\left(x-8\right)^2$

Tags

CCSS.HSF.BF.B.3

Find the equation of the parabola that has moved...

5 units to the left

• $y=x^2+5$

• $y=x^2-5$

• $y=\left(x+5\right)^2$

• $y=\left(x-5\right)^2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

Find the equation of the parabola that has...

moved 3 units to the left

moved 5 units up

• $y=\left(x+3\right)^2+5$
  

• $y=\left(x+5\right)^2+3$

• $y=\left(x-3\right)^2+5$

• $y=\left(x+5\right)^2-3$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

Find the equation of the parabola that has...

been reflected

stretched by 5

• $y=-5x^2$

• $y=-\frac{1}{5}x^2$

• $-y=5x^2$

• $-y=\frac{1}{5}x^2$

Tags

CCSS.HSF.BF.B.3

Find the equation of the parabola that has...

moved 4 units down

been compressed by factor of 3

• $y=\frac{1}{3}x^2-4$
  

• $y=3x^2-4$

• $y=\frac{1}{3}\left(x+4\right)^2$

• $y=3\left(x-4\right)^2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

Find the equation of the parabola that has...

been stretched by 2

moved 5 units to the right

moved 3 units down

• $y=2\left(x-5\right)^2-3$

• $y=2\left(x+5\right)^2-3$

• $y=\frac{1}{2}\left(x+5\right)^2-3$

• $y=\frac{1}{2}\left(x-5\right)^2-3$

Tags

CCSS.HSF.BF.B.3