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Leya [2.2K]
3 years ago
14

What is f(x) = 7x2 + 42x written in vertex form?

Mathematics
2 answers:
amid [387]3 years ago
7 0

Answer:

\boxed{\boxed{y = 7(x+3)^2-63}}

Step-by-step explanation:

The general vertex form of parabola is,

y=a(x-h)+k

where,

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

The given function is,

\Rightarrow f(x) = 7x^2 + 42x

\Rightarrow y = 7x^2 + 42x

\Rightarrow y = 7(x^2 + 6x)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2

\Rightarrow y = 7(x+3)^2-7\cdot 9

\Rightarrow y = 7(x+3)^2-63

This is vertex form the given function.

max2010maxim [7]3 years ago
6 0
Hello,

y=7x²+42x
==>y=7(x²+2*3*x+9)-63
==>y=7(x+3)²-63


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