Quadratics - Transformations & Solving

Which transformation transforms the graph of

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

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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...

3 units up

• $y=x^2+3$
  

• $y=x^2-3$

• $y=\left(x+3\right)^2$

• $y=3x^2$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Find the equation of the parabola that has...

compressed by factor of 3

• $y=3x^2$
  

• $y=\frac{1}{3}x^2$

• $y=\left(x+3\right)^2$

• $y=x^2+3$

Tags

CCSS.HSF.BF.B.3

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

reflected

• $y=-x^2$
  

• $y=\left(x-1\right)^2$

• $-y=x^2$

• $y=x^2-1$

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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.HSF.BF.B.3

CCSS.HSA.CED.A.2

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.HSF.BF.B.3

CCSS.HSA.CED.A.2

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