Question

Which of the following describes the graph of y = x² - 225?

Answer 1

Answer:

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

Step-by-step explanation:

we have

$y=x^{2} -225$

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

$0=x^{2} -225\\x^2=225$

square root both sides

$x=\pm15$

therefore

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