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

d.192

step-by-step explanation:

12*16=192

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40