Graphing Quadratics in Standard Form

Thursday 3/25

M4 L17: Graphing Quadratics from Standard Form

Today's Lesson is Lesson 17

Do Now:

• In your class notebooks, open the content library

• Click on CheatSheets

• Open the page titled: "Steps to Graph a Quadratic from Standard Form"

• Copy the page and paste it into your notebook (Q3: Week 25)

We will graph the function below together using the template you copied. 

 $f\left(x\right)=x^2+10x+24$  

The function below represents the word problem about the baseball player (previous slide):

 $h\left(t\right)=-16t^2+96t+6$  

Let's use our steps to graph the function below representing the baseball player.

We will analyze the problem after we have completed the graph.

 $h\left(t\right)=-16t^2+96t+6$  

Let's use our steps to graph the function below representing the baseball player.

We will analyze the problem after we have completed the graph.

 $h\left(t\right)=-16t^2+96t+6$  

Multiple Choice

Baseball player problem:

What does the domain of the function represent in this context?

• the height (in feet) of the ball above ground

• the initial height of the ball

• the time (number of seconds) since the ball was thrown

Multiple Choice

Baseball player problem:

What does the range of the function represent?

• the height (in feet) of the ball above ground

• the initial height of the ball

• the time (number of seconds) since the ball was thrown

Multiple Choice

Baseball player problem:

At what height does the ball get thrown?

• 90 feet

• 6 feet

• 16 feet

• 6.06 seconds

Multiple Choice

Baseball player problem:

After how many seconds does the ball hit the ground?

• 3 seconds

• 6 feet

• 96 seconds

• 6.06 seconds

Multiple Choice

Baseball Player Problem:

What key feature represents the point on our graph where the ball hits the ground?

• positive x-intercept

• negative x-intercept

• vertex

• y-intercept

Multiple Choice

Baseball Player Problem:

What is the maximum height that the ball reaches while in the air?

• 96 feet

• 6 feet

• 150 feet

• 16 feet

Multiple Choice

Baseball Player Problem:

How long does it take the ball to reach it's max. height?

• 6 seconds

• 3 seconds

• 16 seconds

• 96 seconds

Multiple Choice

Baseball Player Problem:

What point on the graph gives us the maximum height of the ball?

• axis of symmetry

• y-intercept

• vertex

Open Ended

Baseball Player Problem:

What do the zeros of the function tell us about the ball's flight?

Graph the function and identify the key features.

 $y=x^2-6x+5$