For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range.The vertex is (-2, 4), the domain is all real numbers, and the range is y? 4.The vertex is (-2, 4), the domain is all real numbers, and the range is y s 4.The vertex is (2, 4), the domain is all real numbers, and the range is y s 4.The vertex is (2, 4), the domain is all real numbers, and the range is y 2 4.
Accepted Solution
A:
Answer:The vertex is (2, 4), the domain is all real numbers, and the range is y≥ 4Step-by-step explanation:we have[tex]f(x)=(x-2)^{2}+4[/tex]This is the equation of a vertical parabola in vertex form[tex]f(x)=a(x-h)^{2}+k[/tex]wherea is a coefficient(h,k) is the vertexif a > 0 the parabola open upward and the vertex is a minimumif a < 0 the parabola open downward and the vertex is a maximumIn this problem we havea=1sothe parabola open upward and the vertex is a minimumThe vertex is the point (2,4)The domain is the interval -----> (-∞,∞)The domain is all real numbersThe range is the interval ----> [4,∞)[tex]y\geq 4[/tex]The range is all real numbers greater than or equal to 4