Find the following for the function. Intercepts Vertex Maximum or minimum Range

Question

Find the following for the function. Intercepts Vertex Maximum or minimum Range g(x) = - (x + 6)^2 + 4 Select the correct choice below and. if necessary, fill in the answer box to complete your choice. The y - intercept is (Type an integer or decimal rounded to two decimal places as needed.) There is no y-intercept. Select the correct choice below and. if necessary, fill in the answer box to complete your choice. The x-intercepts are (Use a comma to separate answers as needed. Type an integer or decimal rounded to two decimal places as needed.) There is no x-intercept. Vertex: Q (Type an ordered pair.) The function has a maximum. minimum. Maximum or minimum value: Range: Q (Type an inequality, or in interval notation.)

Explanation / Answer

given y=g(x)=-(x+6)2+4

A)for y intercept ,x=0

y=-(0+6)2+4

y=-36+4

y=-32

the y intercept is 32

for x intercept ,y=0

-(x+6)2+4=0

(x+6)2=4

x+6=-2,x+6=2

x=-8,x=-4

x intercepts are -8,-4

B)y=-(x+6)2+4

y=-(x-(-6))2+4

vertex is (-6,4)

C)function has maximum

maximum value =4

D)range y<=4

range (-,4]

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