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Explain how to find the axis of symmetry, vertex, y-intercept, and x-intercepts of a quadratic equation using a graph. How can quadratic equations be used in a real-life situation to solve a problem?

Sagot :

MrRoyal

A quadratic equation has an exponent of 2, and it has the form [tex]y = ax^2 + bx + c[/tex]

How to determine the axis of symmetry

Assume the quadratic equation is:

[tex]y\ =\ 2x^{2\ }-\ 4x\ \ -\ 6[/tex]

See attachment for the graph of the quadratic function

The axis of symmetry is the line that divides the quadratic function into equal segments

Hence, the axis of symmetry of [tex]y\ =\ 2x^{2\ }-\ 4x\ \ -\ 6[/tex] is x = 1

How to determine the vertex

This is the minimum or the maximum point on the graph

Hence, the vertex is (1,-8)

How to determine the y-intercept

This is the point where the graph crosses the y-axis

Hence, the y-intercept is y = -6

How to determine the x-intercept

This is the point where the graph crosses the x-axis

Hence, the x-intercepts are x = -1 and x = 3

Read more about quadratic functions at:

https://brainly.com/question/1214333

View image MrRoyal
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