Rehearsal 1

Good afternoon!

Algebra: Concepts & Connections

Today we will be continuing to work with Quadratic equations.

Turn over your handouts, then take 30 seconds to read over the first problem:"Is it possible for a parabola not to have two different x-intercepts? If so, sketch a graph of a parabola that falls under this criteria. If not, explain why and use a graph to show your reasoning. Then, once you have created a graph, write an equation that models your graph’s parabola and check to see if your equation matches your parabola by using Desmos."

00:30

Solo work!Take 3 minutes to complete question 1 on your own. Graph a parabola that shows your reasoning and build an equation that models the graph you've drawn.

03:00

Time to share! In your groups, share your parabolas and how you came up with them. Then, work together to complete question 2: "List any transformation(s) of the parabola you have graphed."

04:00

Main Takeaways

• Parabolas don’t always cross the x-axis twice as they can have 0, 1, or 2 x-intercepts.
• We can perform transformations on parabolas to change characteristics like the number/location of x-intercepts, the location of the y-intercept, the vertex, and concavity.

• When writing a quadratic equation, you can use multiple forms such as vertex form, standard form, or intercept form.
• Vertex form (AKA transformational form) is the most useful to show transformations performed on the parent graph.
• Each form that models the same graph will be equivalent to one another, and we can convert from one form to the other.