Question

2.4.5 Quiz: Converting Parabolic Equations

Answer 1

Answer:

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:

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