Match Quadratic to Graph

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

How would the graph of the function y = x² + 4 be affected if the function were   changed to y = x² + 1?

• The graph would shift 3 units up.   

• The graph would shift 3 units down.

• The graph would shift 3 units right.   

• The graph would shift 3 units right.

Match the equation to its description.

• Reflected over x and up 4

• Reflected over x and down 4

• Reflected over x and right 4 

• Reflected over x and left 4

The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

Tags

CCSS.HSF-IF.C.7A

What does the quadratic function that has a vertex of (3,4) look like?

• y = a(x+3)² + 4

• y = a(x-3)² + 4

• y = -a(x+3) - 4

• y = a(x-3)² - 4

Tags

CCSS.HSF-IF.C.7A

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

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

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4