The functions f(x)=−(x−4)2+3 and g(x)=−(x−4)2+5 are graphed in the same xy-plane as y=f(x) and y=g(x). If (h1,k1) is the vertex of the graph of function f and (h2,k2) is the vertex of the graph of function g, then what is k2−k1?Choose 1 answer:(A) −2(B) 0(C) 2(D) 8
Q. The functions f(x)=−(x−4)2+3 and g(x)=−(x−4)2+5 are graphed in the same xy-plane as y=f(x) and y=g(x). If (h1,k1) is the vertex of the graph of function f and (h2,k2) is the vertex of the graph of function g, then what is k2−k1?Choose 1 answer:(A) −2(B) 0(C) 2(D) 8
Identify Vertex of f(x): Identify the vertex of the graph of function f(x). The vertex form of a quadratic function is given by a(x−h)2+k, where (h,k) is the vertex of the parabola. For f(x)=−(x−4)2+3, the vertex (h1,k1) is (4,3).
Identify Vertex of g(x): Identify the vertex of the graph of function g(x). The vertex form of a quadratic function is given by a(x−h)2+k, where (h,k) is the vertex of the parabola. For g(x)=−(x−4)2+5, the vertex (h2,k2) is (4,5).
Calculate Difference in k: Calculate the difference between k2 and k1.k2−k1=5−3=2.
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