Parabolas

​Let's practice....

Multiple Select

Given the function, $$f\left(x\right)=\left(x+1\right)^2-3$$  

• Shifts Left

• Shifts Right

• Shift Up

• Shift Down

• Flipped over x-axis

Multiple Select

Given the function, $$f\left(x\right)=\left(x-1\right)^2+5$$  

• Shifts Left

• Shifts Right

• Shifts Up

• Shift Down

• Flipped over the x-axis

Multiple Select

Given the function, $$f\left(x\right)=-3\left(x-1\right)^2-3$$  

• Shifts Left

• Shifts Right

• Shifts Up

• Shifts Down

• Flipped over x-axis

Multiple Select

Given the function, $$f\left(x\right)=\left(x-1\right)^2-3$$  

• Shifts Left

• Shifts Right

• Shifts Up

• Shifts Down

• Flipped over x-axis

Let's apply this in word problems...​

Fill in the Blanks

The height in feet, h, of a baseball t seconds after it is hit is given by the function: $h=-16t^2+100t$  

After how many seconds (t) is the height 100 feet? (WORK SHOWN ON NEXT SLIDE)

Fill in the Blanks

A fireworks shell is fired from a mortar. Its height is modeled by the function: $h=-16\left(t-7\right)^2+784$  

Q1. If the shell falls to the ground without exploding, how many seconds will it take for the shell to hit the ground?

Q2. When is the mortar at its highest point? (Work shown on next slide)