Quadratic Transformations Only H K

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

Identify the vertex of f(x) = 5(x+6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

What steps transform the graph y = x² to y = (x+1)² + 4

• shifted right 1 unit and up 4 units

• Shifted right 1 unit and down 4 units

• shifted left 1 unit and down 4 units

• shifted left 1 unit and up 4 units

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

Name the parent function.

• quadratic

• cubic

• square root

• logarithmic

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

• g(x)= x²+3

• g(x)= (x+3)²

• g(x)= (x-3)²

• g(x) =(x-2)²

What transformation occurred?

• f(x+4)

• f(x) + 4

• f(x-4)

• f(x) -4

Which of of the graphs has a range of all real number greater than or equal to -2?

• I only

• II only

• III only

• I, II, and III

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

• A parabola translated 4 units upwards

• A parabola translated 4 units downwards

Tags

CCSS.HSF-IF.C.7A

• A parabola translated 1 unit to the right

• A parabola translated 1 unit to the left