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PtichkaEL [24]
3 years ago
10

What is the value of h when the function is converted to vertex form? Note: Vertex form is h(x)=a(x−h)^2+k . h(x)=x^2−8x+14 Ente

r your answer in the box.
Mathematics
2 answers:
tamaranim1 [39]3 years ago
6 0

Answer:

Correct answer is: h(x) = (x - 4)² - 2

Step-by-step explanation:

Given:

h(x) = x² - 8x + 14 = x² - 2 · x · 4 + 4² - 4² + 14 = (x - 4)² - 16 + 14 = (x - 4)² - 2

h(x) = (x - 4)² - 2

God with you!!!

victus00 [196]3 years ago
6 0

Answer:

h = 4  

Step-by-step explanation:

Step-by-step explanation:

The <em>standard form</em> of a quadratic function is  

y = ax² + bx + c

Your function is

h(x) = x² − 8x + 14

a = 1; b = -8; c = 14

The <em>vertex form</em> of a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

h = -b/(2a) and k = f(h)

Calculate h

h = -(-8)/(2×1)

  =      8/2

 =        4

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We now got 6x² though we want 11x². The next quadratic entry must then be 5x² so that the overall sum is 11x². Multiplying 5 by the terms of the row entries, we fill in all of the second column:
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The bottom and final term is 20, which is our desired answer and we can read the quotient off the first row: 
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stiks02 [169]

Answer:

Hi, there your answer will be p=6

Step-by-step explanation:

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4p−5+5=19+5

4p=24

Step 2: Divide both sides by 4.

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