Question

Convert the quadratic y=(x+5)2+1
from vertex form to standard form.(1 point)
Responses

y=x2−4x+8
y is equal to x squared minus 4 x plus 8

y=x2+10x+26
y is equal to x squared plus 10 x plus 26

y=x2+5x+11
y is equal to x squared plus 5 x plus 11

y=x2+26

Answer 1

To convert the quadratic from vertex form \( y = (x + 5)^2 + 1 \) to standard form, we will expand it.

1. Expand \( (x + 5)^2 \):
\[
(x + 5)^2 = x^2 + 10x + 25
\]

2. Now, add 1 to the result:
\[
y = x^2 + 10x + 25 + 1
\]
\[
y = x^2 + 10x + 26
\]

Thus, the correct standard form is:
\[
y = x^2 + 10x + 26
\]

So the answer is:
**y is equal to x squared plus 10 x plus 26**.