Question

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
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Answer 1

option C

y=(x-4)² + 13

Explanation:

Give in the question a function

x² - 8x + 29

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

y = a(x-h)² + k

(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