Quadratic Function Table Comparison

Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

• The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

• The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

• The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

• The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Choose the true statement.

• This is the table of a linear equation

• This is the table of a NONlinear equation

Tags

CCSS.8.F.A.3

A function of the form y= ax² + bx + c, where a ≠ 0.

• piece-wise function

• linear function

• quadratic function

• exponential function

• F
• G
• H
• J

• F

• G

• H

• J

What type of function does this table represent?

• Linear

• Quadratic

• Cubic

• Exponential

If red represents y = x², which equation represents orange?

• y = 2x²

• y = -.5x²

• y = 1.5x²

• y = .5x²

• y = -2x²

• F

• G

• H

• J

Compare ƒ(x) = -2x² - 8x + 20 to the graph of g(x) shown.  What can you conclude about the two functions?

•  ƒ(x) has a greater maximum than g(x).

• g(x) has a greater maximum than ƒ(x).

• ƒ(x) has a minimum, while g(x) has a maximum.

• g(x) and ƒ(x) have the same maximum.