SOLUTION: Can you help me figure out this problem please? Determine any axis intercepts: y=x^2-2 The problem is asking for the smaller and larger X intercepts and the Y intercepts.

Question 782094: Can you help me figure out this problem please?
Determine any axis intercepts:
y=x^2-2
The problem is asking for the smaller and larger X intercepts and the Y intercepts...? The problem is also asking for axis or origin symmetry.
Thank you for your help.
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
The x intercepts are the x values when y=0. These values are also known as the roots of the equation.

It is + or - square root of 2, but I don't know how to code the + or - part.

y intercept is the value when x = 0.

y = 0^2 - 2 = -2

is the standard form of a parabola equation, where a, b, and c are the coefficients, or numbers in front of, the squared variable (a), variable (b), and for c is the constant. x=-b/2a is the equation for the axis of symmetry. This is the line that runs through the center of the parabola.

For this example a=1, b=0 and c=-2.

-b/2a = -0/2 = 0. x=0 is the equation for the axis of symmetry.

You can easily tell that from the standard equation. If there is no x element, just x squared and a constant, then the axis of symmetry is x=0.

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