Algebra 1 | Unit 7 | Lesson 23: Using Quadratic Expressions in Vertex Form to Solve Problems | Practice Problems

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Each expression here defines a quadratic function. Find the vertex of the graph of the function. Then, state whether the vertex corresponds to the maximum or the minimum value of the function.

• (5,6), minimum

• (-5, -1), minimum

• (-3, -10), maximum

• (7, 11), minimum

• (2, -2), maximum

Match each equation to the number of solutions it has.

• A: 2 solutions

• B: 1 solution

• C: no solutions

Which equation has irrational solutions?

Three $5,000 loans have different annual interest rates. Loan A charges 10.5% annual interest, Loan B charges 15.75%, and Loan C charges 18.25%. If we graph the amount owed as a function of years without payment, what would the three graphs look like? Describe or sketch your prediction. Use technology to graph each function. Based on your graphs, if no payments are made, about how many years will it take for the unpaid balance of each loan to triple?