3a. Convert the following function in standard form to vertex form by

completing the square

y = x^2 + 8x + 17

1 Add file

Question

Mathematics

Maddison Harvey

30 May, 22:07

3a. Convert the following function in standard form to vertex form by

completing the square

y = x^2 + 8x + 17

1 Add file

+2

Answers (1)

Know the Answer?

Kaylynn Rose · Answer 1

y = (x + 4) ² + 1

Step-by-step explanation:

Given

y = x² + 8x + 17

To complete the square

add/subtract (half the coefficient of the x - term) ² to x² + 8x

y = x² + 2 (4) x + 16 - 16 + 17

= (x + 4) ² + 1 ← in vertex form

3a. Convert the following function in standard form to vertex form bycompleting the squarey = x^2 + 8x + 171 Add file

3a. Convert the following function in standard form to vertex form by

completing the square

y = x^2 + 8x + 17

1 Add file