Graphing Quadratic Functions

A quadratic function f is defined by f(x) = (x − 7)(x + 3).

Without graphing, identify the x-intercepts of the graph of f.

• (7,0) and (-3,0)

• (-7,0) and (3,0)

• (0,7) and (0,-3)

• (0,-7) and (0,3)

A quadratic function f is defined by f(x) = (x − 7)(x + 3).

Expand (x − 7)(x + 3) and use the expanded form to identify the y-intercept of the graph of f.

• (-21,0)

• (21,0)

• (0,-21)

• (0,21)

What are the x-intercepts of the graph of the function defined by (x − 2)(2x + 1)?

• (2, 0) and (-1, 0)

• (2, 0) and (-1/2, 0)

• (-2, 0) and (1, 0)

• (-2, 0) and (1/2, 0)

Here is a graph that represents a quadratic function.

Which expression could define this function?

• (x + 3)(x + 1)

• (x + 3)(x − 1)

• (x − 3)(x + 1)

• (x − 3)(x − 1)

• (0, -5)

• (0, 4)

• (4, 0)

• (-5, 0)

What are the x-intercepts of this equation’s graph?

y = (x − 4)(x − 1)

• (0, -1) and (0, -4)

• (0, 1) and (0, 4)

• (-1, 0) and (-4, 0)

• (1, 0) and (4, 0)

A company sells a video game. If the price of the game in dollars is p,  the company estimates that it will sell 20,000 − 500p games.

Which expression represents the revenue in dollars from selling games if the game is priced at p dollars?

•  (20,000 − 500p) + p

• (20,000 − 500p) − p

•  (20,000 − 500p) · p

Write the quadratic expression in standard form. Draw a diagram if needed.

(x − 3)(x − 6)

Write the quadratic expression in standard form. Draw a diagram if needed.

(2x + 3)(x − 4)