Question

Select the correct answer. Consider the given function. f ⁡ ( x ) = x 2 − 14 ⁢ x − 72 What are the zeros and axis of symmetry for the graph of the function?

Answer 1

Answer: the zeros are 18, and -4. and the axis of symmetry is over the y axis.

Step-by-step explanation: using the quadradic formula, witch is
`x=(-b [plus or minus] √(b^2-4ac) )/(2a)` and a= 1 b= -14 c=-72. ill plug in all the numbers and get
`x=(-(-14) [plus or minus] √((-14)^2-4(1)(-72)) )/(2(1)\\)\\` so after you do all the math. witch is
`x=(14[plus or minus] √(196+228) )/(2\\)` then you add the 196 to 288 witch is 484, and since the number is parenthesis is more than 1 there is 2 numbers that would make it zero.
`x=(14 [plus or minus] √(484))/(2\\)` then the square root of 484 is 22 and then you first add 14 to 22 then divide by 2 and that gives you 18. then you have to subtract 14 from 22 giving you -8 then divide it by 2 witch is -4.