Question

Which could be the function?

Answer 1

Answer:

$f(x)=(x-4)^{2}$

Step-by-step explanation:

we have that

The axis of symmetry shown in the graph is x=4

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

Verify each case

case a) we have

$f(x)=(x+4)^{2}$

The vertex is the point (-4,0)

therefore

Cannot be the function

case b) we have

$f(x)=x^{2}+4$

The vertex is the point (0,4)

The axis of symmetry is x=0

therefore

Cannot be the function

case c) we have

$f(x)=(x-4)^{2}$

The vertex is the point (4,0)

The axis of symmetry is x=4

therefore

Could be the function

case d) we have

$f(x)=x^{2}-4$

The vertex is the point (0,-4)

The axis of symmetry is x=0

therefore

Cannot be the function

Answer 2

Answer:

the answer is c

Step-by-step explanation:

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