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Valentin [98]
3 years ago
5

TIMED HURRY PLEASE!!!!!!!! the first three steps in writing f(x) = 40x + 5x2 in vertex form are shown. Write the function in sta

ndard form. f(x) = 5x2 + 40x Factor a out of the first two terms. f(x) = 5(x2 + 8x) Form a perfect square trinomial. = 16 f(x) = 5(x2 + 8x + 16) – 5(16) What is the function written in vertex form?
Mathematics
2 answers:
suter [353]3 years ago
7 0

Answer:

Vertex form is <u>f(x) = 5 (x + 4 )²- 80</u>

Step-by-step explanation:

Given function is f(x) = 40x + 5x²

Re-write the function in standard form f(x) =  5x² + 40x

Factor out the first terms f(x) = 5 (x² + 8 x)

Now, form the function to perfect  square trinomial,

Add and subtract '16' in function x² + 8 x to make this perfect square.

So, f(x) =  5 (x² + 8 x + 16 - 16)

f(x) = 5 (x² + 8 x + 16 )- 5 (16)

f(x) = 5 (x + 4 )²- 5 (16)

f(x) = 5 (x + 4 )²- 80

In general vertex form is f(x) = a (x - h )² + k , where (h , k) is vertex.

So, in function f(x) = 5 (x + 4 )²- 80, vertex is ( -4 , -80)

Hence, vertex form is <u>f(x) = 5 (x + 4 )²- 80</u>

bija089 [108]3 years ago
3 0
Y=5(x+4)^2-80 is the vertex form
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