Which of the following ordered pairs is part of the solution set for the graph with an equation of y=x2+4x−5

Question

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Solving Quadratic Equations by Graphing - Examples & Practice - Expii
(1 point)
Responses

(0,-5)
(0,-5)
(5,0)
(5,0)
(-9,-2)
(-9,-2)
(0,1)

Answer 1

To determine which ordered pair is part of the solution set for the equation $y=x^2+4x-5$, we need to evaluate each ordered pair by substituting the x-value into the equation and checking if the corresponding y-value is correct.

1. For $(0,-5)$: $$y=0^2+4(0)-5=0+0-5=-5$$ This is a solution.

2. For $(5,0)$: $$y=5^2+4(5)-5=25+20-5=40$$ This is not a solution since $y$ should be 0.

3. For $(-9,-2)$: $$y=(-9{)}^2+4(-9)-5=81-36-5=40$$ This is not a solution since $y$ should be -2.

4. For $(0,1)$: $$y=0^2+4(0)-5=0+0-5=-5$$ This is not a solution since $y$ should be 1.

Based on the evaluations, the only ordered pair that is part of the solution set for the equation $y=x^2+4x-5$ is:

(0, -5)