Lesson 11

Select all true statements about the graph that represents $y=2x(x-11)$.

Its $x$-intercepts are at $(\text-2,0)$ and $(11,0)$.

Its $x$-intercepts are at $(0,0)$ and $(11,0)$.

Its $x$-intercepts are at $(2,0)$ and $(\text-11,0)$.

It has only one $x$-intercept.

The $x$-coordinate of its vertex is -4.5.

The $x$-coordinate of its vertex is 11.

The $x$-coordinate of its vertex is 4.5.

The $x$-coordinate of its vertex is 5.5.

Select all equations whose graphs have a vertex with $x$-coordinate 2.

$y=(x-2)(x-4)$

$y=(x-2)(x+2)$

$y=(x-1)(x-3)$

$y=x(x+4)$

$y=x(x-4)$

Determine the $x$-intercepts and the $x$-coordinate of the vertex of the graph that represents each equation. 

Which one is the graph of the equation $y=(x-3)(x+5)$?

Graph A

Graph B

Graph C

Graph D

Graph A

Graph B

Graph C

Graph D

1. What are the $x$-intercepts of the graph of $y=(x-2)(x-4)$?
2. Find the coordinates of another point on the graph. Show your reasoning.
3. Sketch a graph of the equation $y = (x-2)(x-4)$.

A company sells calculators. If the price of the calculator in dollars is $p$, the company estimates that it will sell $10,\!000-120p$ calculators.

Write an expression that represents the revenue in dollars from selling calculators if a calculator is priced at $p$ dollars.

Is $(s+t)^2$ equivalent to $s^2+2st+t^2$? Explain or show your reasoning.

Tyler is shopping for a truck. He found two trucks that he likes. One truck sells for $7,200. A slightly older truck sells for 15% less. How much does the older truck cost?

Suppose $G$ takes a student’s grade and gives a student’s name as the output. Explain why $G$ is not a function.