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Which of the following describes the graph of y = x² - 225?
1) The graph has zeroes at x = 15 and x = 15 and it opens upward.
2) The graph has zeroes at x = -15 and x = -15 and it opens downward.
3) The graph has zeroes at x = 15 and x = -15 and it opens downward.
4) The graph has zeroes at x = 15 an x = -15 and it opens upward.

Respuesta :

calculista

Answer:

option 4. The graph has zeroes at x = 15 an x = -15 and it opens upward.

Step-by-step explanation:

we have

[tex]y=x^{2} -225[/tex]

This is the equation of a vertical parabola open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the point (0,-225)

The axis of symmetry is x=0 (y-axis)

Find the x-intercepts (values of x when the value of y is equal to zero)

For y=0

[tex]0=x^{2} -225\\x^2=225[/tex]

square root both sides

[tex]x=\pm15[/tex]

therefore

The graph has zeroes at x = 15 an x = -15 and it opens upward.

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