SOLUTION: The problem states: Graph each quadratic function. Give the vertex, axis, domain and range. f(x)=(x+4)^2 From the text book I cannot figure our the formula. I've tried puttin

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The problem states: Graph each quadratic function. Give the vertex, axis, domain and range. f(x)=(x+4)^2 From the text book I cannot figure our the formula. I've tried puttin      Log On


   



Question 133802This question is from textbook College Algebra
: The problem states: Graph each quadratic function. Give the vertex, axis, domain and range.
f(x)=(x+4)^2
From the text book I cannot figure our the formula. I've tried putting in numbers for x and solving for f. I've also tried using the quadratic equation function on this site. A detailed explanation would be appreciated.
This question is from textbook College Algebra

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
this equation is in "vertex" form __ y=a(x-h)^2+k __ where (h,k) is the vertex
__ the axis (of symmetry) passes through the vertex and has the equation x=h

vertex __ (-4,0)

axis __ x=-4

x can be any value so the domain is all real numbers

because of the square function, y can't be less than 0; so the range is all real numbers >= 0