Which of the following tables shows the correct steps to transform x2 + 8x + 15 = 0 into the form (x − p)2 = q? [p and q are integers] (5 points) step 1 x2 + 8x + 15 − 2 = 0 − 2 step 2 x2 + 8x + 13 = −2 step 3 (x + 4)2 = −2 step 1 x2 + 8x + 15 − 1 = 0 − 1 step 2 x2 + 8x + 14 = −1 step 3 (x + 4)2 = −1 step 1 x2 + 8x + 15 + 2 = 0 + 2 step 2 x2 + 8x + 17 = 2 step 3 (x + 4)2 = 2 step 1 x2 + 8x + 15 + 1 = 0 + 1 step 2 x2 + 8x + 16 = 1 step 3 (x + 4)2 = 1

Option D

Step-by-step explanation:

The given expression is x² + 8x + 15 = 0

We have to solve it further to transform into the form ( x - p )² = q

x² + 8x + 15 = 0

[ x² + 8x + 15 ] + 1 = 0 + 1

x² + 8x + 16 = 1

( x + 4 )² = 1

Option D is the answer.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.