Converting from Standard Form to Vertex Form
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Objective 1: I CAN…convert a quadratic equation from standard form to vertex form.
Convert y = x2 – 4x + 10 to vertex form.
Step 1:
Separate the “x” terms from the constant
“c” using parentheses.
Step 2:
Complete the square without adding the
new “c” to the other side.
Step 3:
Find the difference between the original “c”
and the perfect square trinomial “c”.
(original “c” – perfect square trinomial “c”)
Step 4:
Rewrite the perfect square trinomial as a
factored binomial and add the number from
Step 3 at the end of the equation.
Examples: Rewrite the equation in vertex form.
A) y = x2 + 4x – 9
B)
y = x2 + 10x – 3
C)
y = x2 – 12x + 4