Algebra Graphing Quadratic Functions

Describe the transformation from parent function f(x) = x²  , to the graph of  f(x) = x²-7.

• Vertical Shift up 7

• Vertical Shift down 7

• Horizontal Shift to the left 7

• Horizontal Shift to the right 7

Does
y = -4x²
have a maximum or minimum value?

• maximum

• minimum

Tags

CCSS.HSF-IF.C.7A

True or false:
The root, x-intercept, and zero are all the same thing

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Tags

CCSS.HSF-IF.C.7A

What is the fixed perimeter of the rectangles in the graph?

• 10 cm

• 5 cm

• 15 cm

• 30 cm

What is the maximum possible area with this fixed perimeter?

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: all real numbers greater than or equal to -4

  Range: All real numbers

• Domain: All real numbers

  Range: All real numbers greater than or equal to -4.

• Domain: all real numbers between -1 and 5.

  Range: All real numbers greater than or equal to -4.

Which of the following is the correct equation for the given graph?

• f(x) = -(x + 2)² - 4

• f(x) = -(x - 2)² - 4

• f(x) = -3(x - 2)² - 4

• f(x) = -3(x + 2)² - 4

Tags

CCSS.HSF-IF.C.7A

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A