Converting Quadratic Equations Between Standard And Vertex Form Worksheet Page 2
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1
2Convert from Vertex Form to Standard Form:
2
2
y = a(x – h)
+ k
y = ax
+ bx = c
Example 1:
2
y = 5(x + 2)
– 9
y = 5(x + 2)(x + 2) – 9
2
Rewrite (x + 2)
2
y = 5(x
+ 4x + 4) – 9
Simplify (x + 2)(x + 2)
2
y = 5x
+ 20x + 20 – 9
Distribute the 5
2
y = 5x
+ 20x + 11
Combine Like Terms
Example 2:
2
y = –3(x – 4)
+ 7
y = –3(x – 4)(x – 4) + 7
2
Rewrite (x – 4)
2
y = –3(x
– 8x + 16) + 7
Simplify (x – 4)(x – 4)
2
y = –3x
+ 24x – 48 + 7
Distribute the –3
2
y = –3x
+ 24x – 41
Combine Like Terms
Practice: Convert the following quadratics from vertex to standard form.
2
2
2
1. y = ( x – 2)
+ 6
2. y = 3(x – 3)
– 12
3. y = –2(x + 1)
+ 3
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