Quadratic transformations part 2

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

Does the parabola
f(x)=4(x-2)² + 3
open up or down?

• up
• down

Which equation is graphed above?

Explain the translation:

y = x² - 7

• translated left 7

• translated right 7

• translated up 7

• translated down 7

Explain the translation:

y = (x + 14)²

• translated up 14

• translated down 14

• translated right 14

• translated left 14

Explain the translation:

y = (x - 5)² - 1

• translated right 5, up 1

• translated left 5, down 1

• translated right 5, down 1

• translated left 5, up 1

Explain the translation:

y = (x + 9)² + 5

• translated left 9, up 5

• translated left 9, down 5

• translated right 9, up 5

• translated right 9, down 5

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

• reflection

• stretch

• shrink

• left 5, up 10

• right 5, up 10