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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

User EliSquared
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2 Answers

5 votes

Answer:

D. h = 1, k= 16

Explanation:

User Lostsoul
by
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1 vote

Answer:

The correct option is:

h = 1, k = 16

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....

User Wanita
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