x-intercept: (-2,0) and (2,0)

y-intercept: (0,-1)

Linearity: nonlinear

Continuity: continuous

Symmetry: symmetric about the line x = 0

Positive: for values x < -2 and x > 2

Negative: for values of -2 < x < 2

Increasing: for all values of x > 0

Decreasing: for all values of x < 0

Extrema: minimum at (0, -1)

xintercept 20 and 20 yintercept 01 Linearity nonlinear Continuity continuous Symmetry symmetric about the line x 0 Positive for values x lt 2 and x gt 2 Negativ class=

Respuesta :

The data represents a quadratic equation which is shown in the graph below.

How to graph the function?

With all the given information, we can conclude that the function will be a quadratic function.

Knowing that the x-intercepts are at x = -2 and x = 2, then the quadratic equation will be something like:

y = a*(x - 2)*(x + 2)

Where a is the leading coefficient. Now, we also know that the y-intercept is y = -1, then if we evaluate in x = 0 we can get:

-1 = a*(0 - 2)*(0 + 2)

-1 = a*(-4)

1/4 = a

Then the quadratic formula is:

y = (1/4)*(x - 2)*(x + 2)

The graph can be seen below:

If you want to learn more about quadratic formulas:

https://brainly.com/question/1214333

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