Question

Can someone please explain to me how this problem is completed and graphed as well as how to find the x, y intercept and their vertex coordinates and the axis of symmetry

f(x) = x2 + 2x - 3 thanks

Answer 1

x - intercept = 1, -3

y - intercept = -3

vertex = (-1, -4)

axis of symmetry is x = -1

Explanation:

f(x) = x^2 + 2x - 3

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

x = 1, -3

y = -3

Vertex coordinate is the point where the parabola changes direction. In this case, vertex is (-1, -4)

Axis of symmetry is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

So axis of symmetry is x = -1

To be honest, if you graph the equation on the calculator, it will be easy to find all of these once you understand its definition and what it is.