Designing Parabolas

Designing Parabolas

Steps

• Determine if you can write a general (only 2 x-intercepts or a double zero) or a specific equation (2 x-intercepts and a 3rd point)

• Write down the formula y=k(x-x₁)(x-x₂)

• Fill in what you know

• If you can only write a general equation make a statement about k. (

   $k\epsilon R,\ or\ k\epsilon R^+,\ or\ k\epsilon R^-$  )

• If you have a third point, solve for k and then write your equation.

Fill in the Blanks

The formula I need to use is

Fill in the Blanks

x₁ and x₂ are

Fill in the Blanks

Write and equation with x-intercepts at (1,0) and (7,0)

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Write and equation with a double zero at (3,0) that opens up.

Fill in the Blanks

Write and equation with x-intercepts at (-3,0) and (2,0) and a vertex at (

,9). Hint: You need to fill in the blank before you start.

Multiple Select

Click all the words that mean x-intecepts

• roots

• vertex

• zeros

• y-intercept

• solutions