Transformations on Functions

Write the number of one of the functions that has a reflection and is shifted up. You only need to put one number even if there are more.

Tags

CCSS.HSF.BF.B.3

Write the number of one of the functions that has a vertical stretch and is shifted up. You only need to put one number even if there are more.

What would the equation for the new quadratic function be if it was horizontally shifted right 1 unit from the function f(x)=x²+4?

• g(x)=x²+5

• g(x)=(x+1)²+4

• g(x)=(x-1)²+4

• g(x)=x²+3

What would the equation for the new quadratic function be if it was horizontally shifted left 3 units from the function f(x)=2x²  and then vertically stretched by a factor of 5?

• g(x)=10(x-3)²

• g(x)=10(x+3)²

• g(x)=3(x-5)²

• g(x)=5x² - 3

What would the equation for the new quadratic function be if it was horizontally shifted right 6 units from the function f(x)=4x²  and then vertically stretched by a factor of 2?

• g(x)=10(x-6)²

• g(x)=2(x-6)²

• g(x)=12x²

• g(x)=8(x-6)²

What would the equation for the new quadratic function be if it was vertically shifted up 3 units  from the function f(x)=4x²+2?

•  g(x)=x²+3

•  g(x)=7x²+2

•  g(x)=4x²+3

•  g(x)=4x²+5

What would the equation for the new quadratic function be if it was vertically shifted down 6 units from the function f(x)=3x²+2?

•  g(x)=-3x²+2

•  g(x)=3(x-6)²+2

•  g(x)=3x² - 4

•  g(x)=3x²-6

What would the equation for the new quadratic function be if it was vertically shifted down 4 units from the function f(x)=3x²+9?

•  g(x)=3x²+5

•  g(x)=3x²+13

•  g(x)=-x²+9

•  g(x)=7x²+9

What would the equation for the new quadratic function be if it was horizontally shifted right 8 units from the function f(x)=−x²+2

•  g(x)=−(x-8)²+2

•  g(x)=−8x²+2

•  g(x)=−(x+8)²+2

•  g(x)=−x²+10

How did the equation shift from the parent function? y = f(x - 4)

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4