Lesson 13

Here are four graphs. Match each graph with the quadratic equation that it represents.

Graph A

Graph B

Graph C

Graph D

Complete the table without graphing the equations. 

Here is a graph that represents \(y = x^2\).

1. Describe what would happen to the graph if the original equation were changed to \(y=x^2-6x\). Predict the \(x\)- and \(y\)-intercepts of the graph and the quadrant where the vertex is located.

    

   

   

2. Sketch the graph of the equation \(y=x^2 -6x\) on the same coordinate plane as \(y=x^2\).

Select all equations whose graph opens upward.

\(y=\text-x^2 + 9x\)

\(y=10x-5x^2\)

\(y=(2x-1)^2\)

\(y=(1-x)(2+x)\)

\(y=x^2-8x-7\)

Technology required. Write an equation for a function that can be represented by each given graph. Then, use graphing technology to check each equation you wrote.

Graph 1

Graph 2

Graph 3

Match each quadratic expression that is written as a product with an equivalent expression that is expanded.

When buying a home, many mortgage companies require a down payment of 20% of the price of the house. What is the down payment on a $125,000 home?

A bank loans $4,000 to a customer at a \(9\frac{1}{2}\%\) annual interest rate.

Write an expression to represent how much the customer will owe, in dollars, after 5 years without payment.