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hram777 [196]
3 years ago
9

What is the equation to a graph with the vertex -1,3 and zeros -4 and -2

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

f(x)=x^2+6x+8

Step-by-step explanation:

We are given zeros as x=-4, x=-2

so, we can set up function as

f(x)=a(x+4)(x+2)

Vertex is at (-1,3)

It means that graph passes through point (-1,3)

so, we can plug x=-1 and f(x)=3

and then we can solve for 'a'

3=a(-1+4)(-1+2)

we get

a=1

now, we can plug it back

and we get

f(x)=1(x+4)(x+2)

now, we can simplify it

f(x)=x^2+6x+8

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