Select all equations whose graphs have a vertex with \(x\)-coordinate 2.

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 of non linear function, origin O. Horizontal axis from negative 8 to 6, by 2’s. Vertical axis from negative 8 to 12, by 4’s. Line passes through negative 7 comma 8, negative 5 comma 0, negative 3 comma 0 and 1 comma 7.

Graph of non linear function, origin O. Horizontal axis from negative 8 to 6, by 2’s. Vertical axis from negative 16 to 4, by 4’s. Line passes through negative 5 comma 0, negative 3 comma negative 12, negative 1 comma negative 16, 1 comma negative 12, and 3 comma 0.

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.