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IM Alg1.6.12 Practice: Graphing the Standard Form (Part 1)

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

The two equations  and  are equivalent. Which equation helps find the -intercepts most efficiently?

Which equation helps find the -intercept most efficiently?

Here is a graph that represents . On the same coordinate plane, sketch and label the graph that represents each equation:

Select all equations whose graphs have a -intercept with a positive -coordinate.

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Describe how the graph of  has to be shifted to match the given graph.

Write an equation for the function represented by the graph.

Here is a graph of the function  given by . What can you say about the value of ? Explain how you know. 

What are the -intercepts of the graph that represents ? Explain how you know.

What is the -coordinate of the vertex of the graph that represents ? Explain how you know.

Find the -coordinate of the vertex. Show your reasoning.

Sketch a graph of y=(x+1)(x+5).

Determine the x-intercepts, the vertex, and the y-intercept of the graph of each equation.

Equal amounts of money were invested in stock A and stock B. In the first year, stock A increased in value by 20%, and stock B decreased by 20%. In the second year, stock A decreased in value by 20%, and stock B increased by 20%. Was one stock a better investment than the other? Explain your reasoning.