Match Quadratic Equations to Graph

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 equation to its description.

• Stretched by 4 and up 4

• Compressed by 4 and up 4

• Stretched by 4 and left 4

• Compressed by 4 and left 4

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

• A

• B

• C

• D

How do the graphs of the functions
f(x) = x² + 9 and
g(x) = x² – 11 relate to each other?

• The graph of f(x) is 2 units above the graph of g(x).

• The graph of f(x) is 20 units above the graph of g(x).

• The graph of f(x) is 2 units to the right the graph of g(x).

• The graph of f(x) is 20 units to the right the graph of g(x).

How is the graph of y = x² different from the graph of
y = 1/3x²?

• The graph of
  y = 1/3x² is shifted up.

• The graph of
  y = 1/3x² is shifted down.

• The graph of
  y = 1/3x² is wider.

• The graph of
  y = 1/3x² is narrower.

Which of the following functions of the form
y = ax² produces the narrowest graph   and opens upward?

• y = 1/4x²

• y = -4x²

• y = -1/4x²

• y = 4x²

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

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

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Nothing happens, it stays the same.

• Vertical stretch by a factor of 2.

• Vertical translation up by 2 units.

• Reflection across the x-axis.