The quadratic equation is
[tex]y=x^2+4x-5[/tex]The solutions to the question can all be gotten from the graph of the quadratic equation;
The axis of symmetry is the point on the x-axis that divides the vertex of the parabola into two equal parts.
Therefore, the axis of symmetry occurs at x = -2
The graph curves downwards, hence it has a minimum point.
The minimum point occurs at y = -9
The y-intercept is the point where the curve cuts the y-axis when x = 0
Thus, the y-intercept occurs at y = -5
The x-intercept is the point where the curve cuts the x-axis at y = 0. The x-intercept also means the root of the equation
The x-intercept occurs at x = -5 and x = 1.
The domain of the equation is the set of all real values of x that will give real values for y.
Hence, the domain is from minus infinity to plus infinity. All real values of x satisfy the equation.
Domain =
[tex](-\infty,+\infty)[/tex]The range of a quadratic graph is the set of all real values of y that you can get by inputting real values of x
The graph ranges from y greater than or equal to -9
Therefore, the range is ;
[tex]y\ge-9[/tex]
