IM Alg1.6.13 Practice: Graphing the Standard Form (Part 2)

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

Complete the table without graphing the equations.

Here is a graph that represents y=x².

Describe what would happen to the graph if the original equation were changed to [math]y=x^2-6x[/math].[br][br][list][*]Predict the [math]x[/math]- and [math]y[/math]-intercepts of the graph and the quadrant where the vertex is located.[/*][*]Sketch the graph of the equation [math]y=x^2-6x[/math] on the same coordinate plane as [math]y=x^2[/math].[/*][/list]

Select [b]all[/b] equations whose graph opens upward.

[math]y=x^2-8x-7[/math] [math]y=-x^2+9x[/math] [math]y=10x-5x^2[/math] [math]y=\left(2x-1\right)^2[/math] [math]y=\left(1-x\right)\left(2+x\right)[/math]

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

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

[size=150]When buying a home, many mortgage companies require a down payment of 20% of the price of the house.[/size][br][br]What is the down payment on a $125,000 home?

[size=150]A bank loans $4,000 to a customer at a [math]9\frac{1}{2}\%[/math] annual interest rate.[/size][br][br]Write an expression to represent how much the customer will owe, in dollars, after 5 years without payment.