Write the quadratic function in vertex form.

y = x2 - 14x + 53

a. y = (x - 7)2 - 4

b. y = (x + 7)2 - 4

c. y = (x - 7)2 + 4

d. y = (x + 7)2 + 4

Complete the square
isolate x terms
y=(x^2-14x)+53
take 1/2 of -14 and square it ((-7)^2=49
add plus and minus of that inside the parntehasees

y=(x^2-14x+49-49)+53
factor perfect suqrae
y=((x-7)^2-49)+53
get rid of parnthasees
y=(x-7)^2-49+53
y=(x-7)^2+4

C isi answer

The graph that best represents the function can be seen in the attached graph. What you should do is evaluate a large number of points in the function and find the result. Then graph. Remember that for x = 1 the LN of 0 is not defined since it tends to infinity.