Find the vertex form of the function. Then find each of the following. (A) Inter

Question

Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range s(x)=x2-6x + 5 s(x) ] (Type your answer in vertex form.) (A) State the y-intercept(s). (Use a comma to separate answers as needed. Type an integer or a decimal.) State the x-intercept(s). A. The x-intercepts are (Use a comma to separate answers as needed. Type an integer or a decimal.) There are no x-intercepts. 0 B. (B) The vertex is (Type an ordered pair.) (C) Does the function have a maximum or a minimum? O maximum O minimum The maximum or minimum value is (D) The range is (Type your answer as an inequality, or using interval notation)

Explanation / Answer

s(x)=x2-6x+5

s(x)=x2-6x+9-9+5

s(x)=(x-3)2-4

A

y intercept

x=0

f(x)=0-0+5=5

y intercept (0,5)

x intercept , f(x)=0

(x-5)(x-1)=0

x=1,5

x intercept (1,0),(5,0)

B.vertex is (3,-4)

C. Since the coefficient of x2 is 1 which is positive. So graph is minimum.

D.Range [3,infinity)

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