Question

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The equation 4x2 + 8x + 15 = 0 is being rewritten in vertex form.


Fill in the missing step.



Given 4x2 + 8x + 15 = 0

Step 1 4(x2 + 2x ___) + 15 ___ = 0

Step 2 ✔

Step 3 4(x + 1)2 + 11 = 0

4(x2 + 2x + 1) + 15 − 4 = 0

4(x2 + 2x + 1) + 15 − 1 = 0

4(x2 + 2x + 2) + 15 − 2 = 0

4(x2 + 2x + 4) + 15 − 4 = 0

Answer 1

4(x+1)^2+11=0 , (-1,11)

Explanation:

the equation in vertex form is 4(x+1)^2+11=0 which represents a parabola with its vertex being at (-1,11)