Comparing Key Features of Quadratics

Which function has a smaller y-intercept?

• $y=\left(x+1\right)\left(x+2\right)$

• $y=3\left(x+1\right)^2+7$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Compare the function below to the graph pictured. Which has a larger maximum?

 $f\left(x\right)=-x^2+6x-2$  

• Graph

• Equation

Compare the function below to the graph pictured. Which has a lower minimum?

 $f\left(x\right)=x^2+6x+20$  

• Graph

• Equation

Hakeem and Jalen were at football practice and threw footballs at the same time across the field. The flight path of Hakeem's football is modeled by the table provided. The flight path of Jalen's football is modeled by the equation below. Whose football was in the air longer?

 $f\left(x\right)=-0.1x^2+6x+2$  

• Hakeem

• Jalen

In the Jurassic Park movies, Velociraptors jump according the the equation provided below. The Indominus Rex's jump path is described in the table pictured. If Velociraptors are 2 yards tall and the Indominus Rex is 10 yards tall, which dinosaur has a higher vertical jump? 

Velociraptors:

 $f\left(x\right)=-x^2+3x$  

• Velociraptor

• Indominus Rex

In the Jurassic Park movies, Velociraptors jump according the the equation provided below. The Indominus Rex's jump path is described in the table pictured. If Velociraptors are 2 yards tall and the Indominus Rex is 10 yards tall. How far does each dinosaur jump? Which dinosaur jumps more yards than they are tall? 

Velociraptors:

 $f\left(x\right)=-x^2+3x$  

• Velociraptor

• Indominus Rex

Tim and Sean build some rockets for their science class. Tim shoots his rock off and its path can be described by the equation below. Sean's rocket's path can be followed in the graph provided. Which rocket went the furthest?

 $f\left(x\right)=-x^2+50x$  

• Tim

• Sean