3.2 Parts of a parabola and average rate of change

Parts of a Parabola

Algebra I Thursday, March 10, 2022

Multiple Choice

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Finding Average Rate of Change

• When finding the average rate of change over an interval, we are looking to find the slope.

• Make sure that you pay attention to scales on your graphs.

• If you have to, you can find points using inputs and outputs.

What is going on with this graph?

Where is she traveling the fastest? How do you know?

Where is she traveling the slowest? How do you know?

What happens though when the graph doesn't have linear parts?

• Find the Rate Of Change over a given interval

• Notice: the rate of change over [0,1] is different than the rate of change over [1,2]

Multiple Choice

Find the average rate of change over the given interval.

• 4

• 7

• 7/3

• 3/7

How to find the Average Rate of Change:

Multiple Choice

Practice: Which Formula is set up correctly given the coordinate point (x,y): (6, 13) and (7, 15)

• $$m=\frac{15-13}{7-6}$$

• $$m=\frac{13-6}{15-7}$$

Multiple Choice

Practice: Which Formula is set up correctly given

$$f\left(x\right)=2x^2$$  over the interval  $$-2\le x\le4$$  

• $$m=\frac{32-8}{4-\left(-2\right)}$$  

• $$m=\frac{32-8}{\left(-2\right)-4}$$