please do question number 2 and all its parts Math 130 Preca

please do question number 2 and all its parts

Math 130 Precalculus Final Exam B Spring 2017 Name Answer ALL questions-will count best 9. No notes. Cell phones must be sitehed 0FF. GOODLUCK You MUST EXPLAIN your answers and show 02 points) Consider the functioa this function (a) G points) Find the domain (bo G points) Find the x-intercepts and, y-intercepts and vertical asymptotes le) G poins Eind the equations horizontal poml) Now use your atswers found in eariier rans of this question to sketch INote: You must we the do the work in all the steps yourself and justify your week. You are welcosie Calculator work rzaapuises A quadratic fanation is given by +4x +5. Gpoints) Empress the quadratic function in the standard fom.fr atx-ar ee) 2 points) Find the coordinates of the maximum point on the graph and the y-intercepci. 2points Find the x-intercepts. (g) Points sketch the grpla of You need to mark the intercepts and the vertes.

Solution

2. f(x)=-x²+4x+5

f(x)=-(x^2 -4x +4-4)+5

f(x)=-(x-2)^2 +9

maximum value is at the vertex which is 9.

x intercept

f(x)=0

(x-2)^2 =9

x-2=+-3

x=5,-1

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

y intercept

x=0

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

(0,5)