Given the equation 4x2 - 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a (x - h) 2 + k = 0?

h = 4, k = - 16

h = 4, k = - 1

h = 1, k = - 24

h = 1, k = 16

The correct option is:

h = 1, k = 16

Step-by-step explanation:

y=4x^2-8x+20 = 0

It is a quadratic formula in standard form:

ax^2+bx+c

where a = 4, b = - 8 and c=20

The vertex form is:

a (x - h) 2 + k = 0

h is the axis of symmetry and (h, k) is the vertex.

Calculate h according to the following formula:

h = - b/2a

h = - (-8) / 2 (4)

h = 8/8

h = 1

Substitute k for y and insert the value of h for x in the standard form:

ax^2+bx+c

k = 4 (1) ^2 + (-8) (1) + 20

k = 4-8+20

k=-4+20

k = 16

Thus the correct option is h=1, k=16 ...

h=1 k=16