Algebra 1 | Unit 6 | Lesson 13: Graphing the Standard Form (Part 2) | Practice Problems

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

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Complete the table without graphing the equations.

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

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.

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

• \(x^2+10x+21\)

• \(3x^2+13x+12\)

• \(3x^2+22x+7\)

• \(x^2+7x+12\)

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.