Consider the given function.

f (x) = x^2 - 14x - 72

What are the zeros and axis of symmetry for the graph of the function?

A.

zeros: x = - 9 and x = - 8;

axis of symmetry: x = - 7

B.

zeros: x = - 18 and x = 4;

axis of symmetry: x = - 7

C.

zeros: x = 9 and x = 8;

axis of symmetry: x = 7

D.

zeros: x = - 4 and x = 18;

axis of symmetry: x = 7

Question

Mathematics

Randall Guerrero

1 August, 07:09

Consider the given function.

f (x) = x^2 - 14x - 72

What are the zeros and axis of symmetry for the graph of the function?

A.

zeros: x = - 9 and x = - 8;

axis of symmetry: x = - 7

B.

zeros: x = - 18 and x = 4;

axis of symmetry: x = - 7

C.

zeros: x = 9 and x = 8;

axis of symmetry: x = 7

D.

zeros: x = - 4 and x = 18;

axis of symmetry: x = 7

+4

Answers (1)

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Casey · Answer 1

D)

Step-by-step explanation:

f (x) = x^2 - 14x - 72

0=x^2 - 14x-72

0=x^2 - 18x+4x-72

0=x (x-18) + 4 (x-18)

0 = (x-18) (x+4)

x-18=0 or x+4=0

x1=18 or x2=-4

asis of symmetry: x = (x1+x2) / 2

x = (18 + (-4)) / 2

x=14/2

x=7