Match the equation on the left to its equivalent on the right.(3 points)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=x2+6x+5
y=(x−3)2+4
y=x2−5x+6

Answer 1

To match the equations on the left with their equivalent forms on the right, we need to identify which quadratic expressions are equivalent to one another.

Here’s the comparison for the given equations:

1. y = x² + 6x + 5

   • This can be factored to:
     • y = (x + 1)(x + 5)
   • It does not match any of the forms provided on the right.

2. y = (x - 3)² + 4

   • Expanding this gives:
     • y = (x² - 6x + 9) + 4
     • y = x² - 6x + 13
   • This does not match any of the forms provided on the left.

3. y = x² - 5x + 6

   • This can be factored as:
     • y = (x - 2)(x - 3)
   • It does not match any of the specific forms provided on the right.

Based on this analysis, the original three equations do not have matching pairs in the responses you provided. If additional options or clarifications are available, please share them for more accurate comparisons.