Question

find the vertex of the function. write your answer if the form (x,y). Use the slash mark (/)as a fraction bar if necessary but do not use decimal points.
y=x^2+10x+22

Answer 1

help me ivettef365

Answer 2

x = -b/2a that is the formula

Answer 3

x^2+10x+22
= (x + 5)^2 - 25 + 22
= (x + 5)^2 - 3

Answer 4

yes thats formula for the x coordinate of the vertex
= -10/2 = -5

Answer 5

right so x = -5, now find y

Answer 6

now you need the y-coordinate which you can get by plugging in -5 for x in the expression

Answer 7

-3?

Answer 8

yep

Answer 9

so -5,-3 answer ?

Answer 10

(-5)^2 +10(-5) + 22 = 25 -50 + 22 = 47 -50 = -3

Answer 11

correct

Answer 12

or you can get the vertex form converting to vertex form as i did above

the x coordinate is value of x which makes parentheses = 0 ( that is -5) and the last part -3 = y coordinate