Equation from Parabola

What is the parent function of a quadratic equation?

• f(x)=x

• f(x)=x²

• f(x)=ax²+bx+c

• f(x)=a(x-h)²+k

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Match the description to its equation.
Moves up 2
Moves left 4

• A

• B

• C

• D

Match the description to its equation.
Moves right 7

• A

• B

• C

• D

Match the description to its equation.
- moves down 3

• A

• B

• C

• D

Match the description to its equation.
Moves down 1
Moves right 1

• A

• B

• C

• D

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Given f(x) = x² - 4 , how did we transform from the parent function?

• Horizontal shift left 4

• Vertical shift up 4

• Horizontal shift right 4

• Vertical shift down 4

The graph of m(x) = x² was transformed to create the graph of n(x) = x² + 21.  Which of these describes the transformation?

• A vertical shift down 21 units.

• A vertical shift up 21 units.

• A horizontal shift to the right 21 units.

• A horizontal shift to the left 21 units.

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

• a reflection across the line x = -4

• a reflection across the line y = -4

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right