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LuckyWell [14K]
2 years ago
12

A a) Is (x + 4) a factor of (x^ 2 +9x+20)? In other words , does x + 4 divide evenly into x ^ 2 + 9x + 20 ?

Mathematics
1 answer:
liubo4ka [24]2 years ago
3 0

Answer:

Yes

Step-by-step explanation:

the factors of (x^ 2 +9x+20) are (x+4)(x+5)

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If f(x)=x^2 is vertically stretched by a factor of 9 to g(x). What is the equation of g(x)?
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Given:

The function is:

f(x)=x^2

This function is stretched by a factor of 9 to g(x).

To find:

The equation of function function g(x).

Solution:

The vertical stretch is defined as:

g(x)=kf(x)           ...(i)

If 0, then the function f(x) compressed vertically by factor k.

If k>1, then the function f(x) stretched vertically by factor k.

The given function f(x) is stretched by a factor of 9 to g(x).  So the value of k is 9.

Substituting k=9 in (i), we get

g(x)=9f(x)

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