Writing Quadratic Equations In Factored Form

What are the factors of the equation?

• (x+3)

• (x-3)

• (x+1)

• (x-1)

Tags

CCSS.HSA.APR.B.2

What are the roots of the parabola?

• {3, 1}

• {-3, -1}

• {3, -1}

• {-3, 1}

The factors & ​ (a)   are the​ (b)   numbers, just ​ (c)   signs.

• roots
• same
• opposite

Tags

CCSS.HSF-IF.C.7A

y = a(x-m)(x-n); m & n = _________

Tags

CCSS.HSF-IF.C.7C

3. Writing Quadratic Equations from Roots:

4. 1. Identify the ​ (a)   of the quadratic & label as ​​ (b)  

   &​ (c)   .

• x
• y
• roots/solutions
• m
• n
• substitute
• a
• factored

2. Identify another​ (a)   on the parabola & label as​ (b)   & ​ (c)   .

• point
• x
• y
• roots/solutions
• m
• n
• substitute
• a
• factored

Tags

CCSS.HSF-IF.C.7A

3.​ ​ (a)   the roots (m & n) and the point (x, y) into the factored form equation y = a(x-m)(x-n) and solve for ​ (b)   .

• Substitute
• a
• roots/solutions
• m
• n
• x
• y
• point
• factored

4. You now have everything you need to write the equation in ​ (a)   form (a, m, n). Substitute these values into ​ (b)   form & convert to standard.

• factored
• roots/solutions
• substitute
• point