2.4.5 quiz: converting parabolic equations
question 2 of 10
2 points
the standard form of the equation of a parabola is y = x2 - 8x+29.
what is the vertex form of the equation?
o a. y=(x-4)2 + 18
o b. y=(x-4)2 + 28
o c. y=(x-4)2 + 13
o d. y= (x + 4)(x-4) +13

option C

y=(x-4)² + 13

Step-by-step explanation:

Give in the question a function

x² - 8x + 29

The vertex form of a parabola's equation is generally expressed as:

(h,k) is the vertex

a is the x's co-efficient = 1

To find the vertex

x² - 8x + 29

here a = 1

        b = -8

        c = 29

x = -b/2a

x = 8/2(1)

x = 4

Plug this value of x in the equation to find y

y = 4² - 8(4) + 29

y = 13

so

y = 1(x - 4)²+ 13

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

mark brainliest