# Algebra

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

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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