Algebra

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Give the domain and range.
y=(x+)^2-7

answer:
y=(x+4)(x=4)-7
y=(x^2+8x+16)-7
y=x^2+8x+9
The domain and range equal all real numbers.

  • Algebra -

    It looks like you mean
    Give the domain and range.
    y=(x+4)^2-7
    y = x^2 + 8 x + 9 agreed
    BUT
    This is a parabola opening up
    Indeed you can get a y for any x, so the DOMAIN is all real x
    HOWEVER
    The RANGE is all y above the vertex!
    The vertex is at x = -4 where y = -7
    so the range is all y greater or equal to -7

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